How do you calculate equivalent fractions?
What are equivalent fractions?
- Sometimes fractions can be simplified into smaller ones.
- These fractions are said to be equivalent.
- You can multiply the numerator and denominator in the smaller fraction, by the same number, and get the first fraction back.
How do you write an equivalent fraction?
Summary:
- You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
- You only multiply or divide, never add or subtract, to get an equivalent fraction.
- Only divide when the top and bottom stay as whole numbers.
How to make an equivalent fraction?
It is possible by these methods:
- Method 1: Make the Denominators the same
- Method 2: Cross Multiply
- Method 3: Convert to decimals
What are the rules of equivalent fractions?
Equivalent Fractions Rule. A rule stating that if the numerator and denominator of a fraction are multiplied by the same nonzero number, the result is a fraction that is equivalent to the original fraction. This rule can be represented as: a//b = (n * a)//(n * b).
What is the equivalent fraction of 5 by 12?
Four equivalent fractions for 5/12 are 10/24, 15/36, 20/48 and 25/60.
Does 5/12 have to be simplified?
512 does not cancel down so it cannot be simplified.
What is 5 equivalent to as a fraction?
5 as a fraction is 5/1. To write any whole number as a fraction, all we need to do is place the whole number as the numerator and place 1 as the denominator.
What is 5/12 as a number?
Answer: 5/12 as a decimal is 0.4167.
How do you simplify 5/12 into a fraction?
The numerator of the given fraction 5 is a prime number, so this fraction could only be reduced if its denominator was a multiple of 5 , but 12 is not a multiple of 5 . Therfore the fraction is in the simplest form. 512 is in its lowest terms.
What is 5/12 in a mixed number?
Since 512 is a proper fraction, it cannot be written as a mixed number.
What is 5/10 equivalent to as a fraction?
½What are the equivalent fractions of 5/10? 5/10 is equal to ½ after simplification. Hence, the equivalent fractions of 5/10 are: ½, 2/4, 3/6, 4/8 and so on.
What is 1/4 equal to as a fraction?
2/8Answer: The fractions equivalent to 1/4 are 2/8, 3/12, 4/16, etc. Equivalent fractions have the same value in their reduced form.
What is 3/4 equal to as a fraction?
This time, both numbers are the same, so 12/16 IS equivalent to 3/4 . By using this equivalent fraction calculator, you can also see how to obtain one fraction from another!
What is 5/12 of a whole?
5 / 12 = 0.41666667 If you insist on converting 5/12 to a whole number, the best we can do is round the decimal number up or down to the nearest whole number. 5/12 rounded up to the nearest whole number is 1 and 5/12 rounded down to the nearest whole number is 0.
How do you solve 5 divided by 12?
What is 5 Divided by 12?5 divided by 12 in decimal = 0.416.5 divided by 12 in fraction = 5/12.5 divided by 12 in percentage = 41.66666667%
Is 5/12 a terminating decimal?
5/12 Has the prime factors in the denominator as 2 and 3. Thus 5/12 is not a terminating decimal. The denominator is not in the form of 2𝑝 then 31/375 is not a terminating decimal.
What is the equivalent of 5%?
Common percentage to decimal numbers to fractions conversionschart for: Percentage conversionsPercent equalsDecimal № equalsFraction equals5%0.051⁄207.5%0.0753⁄4010%0.11⁄1048 more rows
What is 1/5 equal to as a fraction?
Fractions equivalent to 1/5: 2/10, 3/15, 4/20, 5/25 and so on … Fractions equivalent to 2/5: 4/10, 6/15, 8/20, 10/25 and so on …
What is the decimal for 5?
0.05Percent to decimal conversion tablePercentDecimal4%0.045%0.056%0.067%0.0720 more rows
What is equal to 5 as a decimal?
So 5.0 becomes 0.05.
What are Equivalent Fractions?
Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.
How to make a fraction equivalent?
Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won’t change the value of the fraction , and you’ll create an equivalent fraction.
What is half of a fraction?
For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100
How to find equivalent fractions?
To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction ( 12 5) by the same natural number, ie, multiply by 2, 3, 4, 5, 6 …
Is 12 5 a fraction?
Important: 12 5 looks like a fraction, but it is actually an improper fraction.
Can you convert fractions to decimals?
This Equivalent Fractions Table/Chart contains common practical fractions. You can easily convert from fraction to decimal, as well as, from fractions of inches to millimeters.
What is fraction in math?
In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction. 3.
How to convert decimals to fractions?
It does however require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to , use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place which constitutes 10 4, or 10,000. This would make the fraction#N#1234#N##N#10000#N#, which simplifies to#N#617#N##N#5000#N#, since the greatest common factor between the numerator and denominator is 2.
How to multiply fractions?
Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem.
How to find common denominator of fractions?
One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.
Why do we multiply all the denominators?
Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole.
How to divide fractions?
In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply. . When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction.
What is fraction used for in engineering?
In engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below.
How to Determine if Two Fractions are Equivalent?
We need to simplify the given fractions to find whether they are equivalent or not. Simplification to get equivalent numbers can be done to a point where both the numerator and denominator should still be whole numbers. There are various methods to identify if the given fractions are equivalent. Some of them are:
What are Equivalent Fractions?
Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.
How to write 6/8 as an equivalent fraction?
In order to write the equivalent fraction for 6/8, let us multiply the numerator and denominator by 2 and we will get (6 × 2)/ (8 × 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now, let us get another equivalent fraction for 6/8, by dividing it by a common number, say, 2. After dividing the numerator and denominator by 2 and we will get (6 ÷ 2)/ (8 ÷ 2) = 3/4. Therefore, 6/8 and 3/4 are equivalent fractions.
How to multiply the numerator and the denominator?
Multiply the numerator and the denominator by the same number.
What is the LCM of 2/6 and 3/9?
The denominators of the fractions, 2/6 and 3/9 are 6 and 9. The LCM of the denominators 6 and 9 is 18. Let us make the denominators of both fractions 18, by multiplying them with suitable numbers.
Is a decimal the same as a fraction?
The decimal values of both the fractions are the same and hence, they are equivalent.
Do equivalent fractions get reduced to the same fraction?
All equivalent fractions get reduced to the same fraction in their simplest form as seen in the above example. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.
Calculator Use
Compare and order fractions, integers, mixed numbers and decimals in ascending or descending order. Order fractions from least to greatest or from greatest to least.
How to Order Fractions, Integers and Mixed Numbers
To compare and order fractions we must first convert all integers, mixed numbers (mixed fractions) and fractions into values that we can compare. We do this by first converting all terms into fractions, finding the least common denominator ( LCD ), then rewriting each term as an equivalent fraction with the LCD.
Related Calculators
To find which fraction is bigger and which is smaller see the Comparing Fractions Calculator .
What are Equivalent Fractions?
Equivalent fractions state that two or more than two fractions are said to be equal if both results are the same fraction after simplification. Let us say, a/b and c/d are two fractions, after the simplification of these fractions, both result in equivalent fractions, say e/f, then they are equal to each other.
What happens when two fractions are given?
If two fractions are given, we can simply find their decimals to check if they are equivalent fractions.
Why are fractions the same?
These fractions are actually the same because when we multiply or divide both the numerator and the denominator by the same number, the value of the fraction actually doesn’t change. Therefore, equivalent fractions, when reduced to their simplified value, will all be the same. For example, consider the fraction 1/5.
How to make the denominator equal to 9?
Multiply 2/3 by 3/3 to make the denominator equal to 9.
Is a fraction equivalent to a decimal?
Since, both the fractions results in the same decimal, thus they are equivalent.
Is 10/12 a fraction?
But, ⅚ and 10/12 are equivalent fractions because of 10/12 = ⅚.
Can you multiply and divide by the same numbers to get an equivalent fraction?
Keep in mind that we can only multiply or divide by the same numbers to get an equivalent fraction and not addition or subtraction. Simplification to get equivalent numbers can be done till a point where both the numerator and denominator should still be whole numbers.
What is Meant by the Equivalent Fractions?
In mathematics, the fraction defines the parts of the whole. It is the ratio of two numbers. The fraction is of the form a/b. For example, ⅝ is a fraction. Here, the top number 5 is called the numerator, and the bottom number 8 is called the denominator. The fractions can be classified into different types, namely proper fraction, improper fraction, mixed fraction, like fraction, unlike fractions, equivalent fractions. Let us consider two fractions, 15/20 and 9/12. These fractions are said to be an equivalent fraction because when the fractions are simplified, the resultant fraction will be the same. If 15/20 is simplified, we get ¾. Similarly, if 9/12 is simplified, we get ¾. Hence, it is called equivalent fraction
What are the different types of fractions?
The fractions can be classified into different types, namely proper fraction, improper fraction, mixed fraction, like fraction, unlike fractions, equivalent fractions. Let us consider two fractions, 15/20 and 9/12. These fractions are said to be an equivalent fraction because when the fractions are simplified, the resultant fraction will be …
FAQs
5/12 is equivalent to what fraction – The Equivalent? ›
Four equivalent fractions for 5/12 are 10/24, 15/36, 20/48 and 25/60.
What are equivalent fractions for answers? ›Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½. A fraction is a part of a whole. Equivalent fractions represent the same portion of the whole.
What fraction is 12 equivalent to? ›Answer: 12% can be represented as 3/25 as a fraction.
What are 5 examples of equivalent fractions? ›Let's have a look at examples of some equivalent fractions. Fractions equivalent to 1/2: 2/4, 3/6, 4/8, 5/10 and so on … Fractions equivalent to 1/3: 2/6, 3/9, 4/12, 5/15 and so on … Fractions equivalent to 2/3: 4/6, 6/9, 8/12, 10/15 and so on …
What are 3 examples of equivalent fractions? ›Equivalent Fractions Examples
Example: 1/2, 2/4, 3/6, and 4/8 are equivalent fractions. Let us see how their values are equal. We will represent each of these fractions as circles with shaded parts. It can be seen that the shaded parts in all the figures represent the same portion if seen as a whole.
5/12 = 512 ≅ 0.4166667
Spelled result in words is five twelfths.
12/5 = 125 = 2 25 = 2.4
Spelled result in words is twelve fifths (or two and two fifths).
Solution: 12/5 as a decimal is 2.4
As a result, you get 2.4 as your answer when you convert 12/5 to a decimal.
Solution: 5/12 as a percent is 41.667%
What is 5 over 12 as a number? ›Answer: 5/12 as a decimal is 0.4167.
What does equivalent mean for kids? ›
In simple words we can say that two things or quantities are equal when they are exactly the same like ½ is equal to ½ but ½ is equivalent to 2/4 as they represent the same value.
What is mean by equivalent fraction? ›Definition of Equivalent Fractions
The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same fraction after we simplify them.
In real life, we will many examples of fractions, such as: If a pizza is divided into two equal parts, then each part is equal to half of the whole pizza. If we divide a slice of watermelon into three equal parts then each part is equal 1/3rd of the whole.
What does 5 12 mean in math? ›Dividend = 5
Divisor =12. Fraction 5/12 means to divide the number 5 into 12 equal parts and in the results, we get a numerical value of 1 part, also known as the Quotient.
Solution: 5/12 as a mixed number is 5/12.
What is 5 12 as a simplified decimal? ›In order to make 512 into a decimal, you take the top number or numerator, which is 5 , and take your bottom number or your denominator, which is 12 , and divide 5 by 12 . The answer will be 0.416666667 .
What is 5 12 plus 1 3 as a fraction? ›5/12 + 1/3 = 34 = 0.75
Spelled result in words is three quarters.
So, 5/12 is a non terminating decimal.
What is 5 2 12 as decimal? ›Solution: 5 2/12 as a decimal is 5.17
When you convert 5 2/12 (or 62/12) to a decimal, 5.17 is your answer.
An equivalent fraction of two-thirds (2/3) is sixteen twenty-fourths (16/24).
What is fraction in math grade 4? ›
Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator.
How to do equivalent fractions grade 8? ›To find equivalent fractions, we multiply the numerator and the denominator by the same number, so we need to multiply the denominator of 7 by a number that will give us 21. Since 3 multiplied by 7 gives us 21, we can find an equivalent fraction by multiplying both the numerator and denominator by 3.
How do you teach fractions to Grade 1? ›Kids meet fractions as early as in their first grade. At this stage, you can draw circles or squares with different colors and then divide those shapes into parts. Such pictures will be among the fun ways to teach fractions. While learning fractions for beginners, you can use colors.
What are equivalent fractions Grade 7 math? ›When two fractions represent the same amount of a whole they are equivalent fractions. We can convert a fraction into an equivalent fraction by multiplying the numerator and denominator by the same number, or dividing out a common factor from the numerator and denominator.
What is the equivalent fraction of 36 48 with numerator 9? ›Here, we need an equivalent fraction that has 9 in the numerator. We will reduce the fraction 36 / 48 by dividing both the numerator and the denominator by 4 to get the numerator 9. 36 / 48 ÷ 4 / 4 = 9 / 12.
What is 5 1 12 as decimal? ›Solution: 5 1/12 as a decimal is 5.08
When you convert 5 1/12 (or 61/12) to a decimal, 5.08 is your answer.
The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 120, etc.
Why is 5 12 a rational number? ›In division terms: Five divided by twelve. Twelve divided by five. Both of these numbers are rational because they are found between the integer values on the number line.
Are 1 3 and 2 7 equivalent fractions? ›Step-by-step explanation: 2/7 is not equivalent fraction of 1/3 because 7 is not exactly divisible by 3.
What are four examples of equivalent fractions? ›Let's have a look at examples of some equivalent fractions: Fractions equivalent to 1/2: 2/4, 3/6, 4/8, 5/10 and so on… Fractions equivalent to 1/3: 2/6, 3/9, 4/12, 5/15 and so on... Fractions equivalent to 2/3: 4/6, 6/9, 8/12, 10/15 and so on…
What is fraction equivalent grade 4? ›
We can make equivalent fractions by multiplying or dividing both the numerator and the denominator by the same number. Make sure to use the same operation and the same number for both the numerator and the denominator.
Are 3 5 and 6 10 equivalent fractions? ›Equivalent fractions to 3/5
So, 3/5 = 6/10 = 9/15 = 12/20.
Because 10/12 and 20/24 represent the same amount of a whole, they are equivalent fractions. This shows that we can simplify the fraction 20/24 to 10 /12.
What is the easiest way to teach equivalent fractions? ›The only way your students are going to master equivalent fractions is through using fraction models. Use all the manipulatives, fraction bars and fraction circles. Use them all day every day! Come up with an easy procedure for getting your fraction models passed out to your students.
Are 2 8 and 3 12 equivalent fractions? ›Equivalent fractions of 1/4: 2/8, 3/12, 4/16, 5/20.
Are 2 9 and 6 27 equivalent fractions? ›Hence, and are equivalent.
What is 2 3 3 5 as a fraction? ›Answer: 2/3 + 3/5 as a fraction is 19/15.