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Equivalent Fractions Calculator

Equivalent Fractions Calculator

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Is Fraction?

 



Number of equivalent fractions

1st Fraction:



2nd Fraction:



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Obtain equivalent fractions corresponding to the integer, fraction, or mixed number instantly with the assistance of this free equivalent fractions calculator. You can also go for checking whether two fractions are equivalent or not by using this calculator. How does it sound?

Let’s discuss more about the mathematics behind equivalent fractions theory.

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What Are Equivalent Fractions?

As far as the mathematical theory is concerned:

“Fractions that look different but have same value are termed equivalent”

Equivalent fractions may have unlike numerators and denominators, but their equivalency can be checked by reducing them to the lowest form.

Way of Finding Equivalent Fractions:

There is only one standard method of determining the equal fractions that is as below:

  • You need to multiply the numerator and the denominator with the same number. Doing this will not disturb the actual final decimal answer but the upper and lower number of the vinculum change.

To speed up the process, you can use our free equivalent fractions calculator that will display a hundred of equal fractions corresponding to the original.

Way of Checking Fractions Equivalency:

The only way to check whether the fractions are equivalent or not is as follows:

  • What you have to do is to reduce the fractions to their lowest forms. Once done, these least fractions will let you decide whether they are equal or not.

Moreover, an alternative method is to divide the original fractions to determine their decimal forms. If decimal forms are equal, the fractions are said to be equivalent, otherwise not.

Equivalent Fractions Table:

Below is the table that contains fractions with their equivalents that are used in daily maths calculations. Let’s have a look!

Fractions, Mixed Numbers, or Integers

Equivalent Fractions
1/2

2/4, 3/6, 4/8, 5/10, …

5/6

10/12, 15/18, 20/24, 25/30, …
1/5

2/10, 3/15, 4/20, 5/25, …

5/8

10/16, 15/24, 20/32, 25/40, …
2/6

1/3, 3/9, 4/12, 5/15, …

2/8

1/4, 3/12, 4/16, 5/20, …
2/3

4/6, 6/9, 8/12, 10/15, …

6/8

3/4, 9/12, 12/16, 15/20, …
4/6

2/3, 6/9, 8/12, 10/15, …

2/4

1/2, 3/6, 4/8, 5/10, …
2/3

4/6, 6/9, 8/12, 10/15, …

6/9

2/3, 4/6, 8/12, 10/15, …
3/8

6/16, 9/24, 12/32, 15/40, …

1/3

2/6, 3/9, 4/12, 5/15, …
3/4

6/8, 9/12, 12/16, 15/20, …

5

1/1, 2/2, 3/3, 4/4, …
8/12

2/3, 4/6, 6/9, 10/15, …

3/7

6/14, 9/21, 12/28, 15/35, …
4

1/1, 2/2, 3/3, 4/4, …

4/3

8/6, 12/9, 16/12, 20/15, …
15/8

30/16, 45/24, 60/32, 75/40, …

15/16

30/32, 45/48, 60/64, 75/80, …
1 1/2

3/2, 6/4, 9/6, 12/8, …

4 5/6

58/12, 87/18, 116/24, 145/30, …
6/12

1/2, 2/4, 3/6, 4/8, …

50/100

1/2, 2/4, 3/6, 4/8, …
6/8

3/4, 9/12, 12/16, 15/20, …

9/12

3/4, 6/8, 12/16, 15/20, …
12/16

3/4, 6/8, 9/12, 15/20, …

15/20

3/4, 6/8, 9/12, 12/16, …
12/18

2/3, 4/6, 6/9, 8/12, …

 

All of these fractions can be checked by subjecting to a free equivalent fractions calculator.

How To Make Equivalent Fractions?

Here we will be resolving a couple or three equivalent fractions examples to make your vision clearer regarding the concept. Let’s move ahead!

Example # 01:

What’s 2 2 first five equivalent fractions?

Solution:

Here we have the fraction as follows:

2/2

Now we will start multiplying the numerator and denominator of the given fractions with the 2 and then increase this number by one:

2/2 = 2/2 * 2/2 = 2*2/2*2 = 4/4

2/2 = 2/2 * 3/3 = 2*3/2*3 = 6/6

2/2 = 2/2 * 4/4 = 2*4/2*4 = 8/8

2/2 = 2/2 * 5/5 = 2*5/2*5 = 20/20

2/2 = 2/2 * 6/6 = 2*6/2*6 = 12/12

So the first five fractions that are equivalent to the given fraction are as follows:

4/4, 6/6, 8/8, 10/10, and 12/12

Example # 02:
What is equivalent fractions for 1 4?

Solution:

Going to find equivalent fractions:

1/4 = 1/4*2/2 = 2/8

1/4 = 1/4 * 3/3 = 3/12

1/4 = 1/4 * 4/4 = 4/16

So the fractions equal to given one are as below:

2/8, 3/12, 4/16, …

To make your calculations more speedy and accurate, commence to our best equivalent fractions calculator.

Example # 03:

What is an equivalent fraction of the 5/6?

Solution:

Here we have:

5/6 = 5/6 *2/2 = 10/12

5/6 = 5/6 * 3/3 = 15/18

5/6 = 5/6 * 4/4 = 20/24

So the equivalent fractions are:

10/12, 15/18, 20/24

How Equivalent Calculator Works?

This calculator takes a couple of seconds to calculate the fractions that are exactly equal to the original input but looks somehow different. Let’s have a look at its operation:

Input:

  • From the first list, select whether you want to calculate “equivalent fractions” or “check two fractions equivalency”
  • After that, go for selecting whether you want to consider fractions or mixed numbers from the next drop down list
  • Next, enter the whole number/s, numerator/s, and denominator/s in their designated fields
  • At the end, tap the calculate button

Output:
The free equivalent fraction calculator performs the following functions:

  • Find equivalent fractions upto first 100
  • Check whether two fractions are equal to each other or not

FAQ’s:

What’s an equivalent fraction of 8/99?

The first equivalent fraction of 8/99 is 16/198 that you could also cross check by using our best equivalent fraction calculator.

What are equivalent fractions to 1?

The fractions that are equal to 1 are as follows:

2/2, 3/3, 4/4, 5/5, 6/6, 7/7, …

What is 3 as a fraction?

When three is no denominator in a fraction, it is considered as 1. This is why 3 is actually 3/1 when written as a fraction.

What is a equivalent fraction of the 6/8?

The equivalent fractions of 6/8 are 6/8, 12/16, 18/24 , 24/32, 30/40 that you could also verify by taking into consideration the use of pour free equivalent fractions calculator .

Which is equivalent to 1/7 as a fraction?

The series 1/7, 2/14, 3/21, 4/28, 5/35, … is exactly equal to the original given fraction.

How do we use equivalent fractions in real life?

Equivalent fractions have many applications in the real day world. These include:

  • Distributing pizza slices
  • Telling time to someone that is the fraction of the minute times hour
  • Determination of discounts when sales are going on

Conclusion:

The theory of equal fractions provides students with the opportunity to understand the basics of the maths calculations. So when you feel a hurdle in calculating the similar fractions to the given one, let our best equivalent fractions calculator do that for you in a span of moments.

References:

From the source of Wikipedia: Fraction, Forms of fractions, Reciprocals and the “invisible denominator”, Historical notions, Arithmetic with fractions, Fractions in abstract mathematics

From the source of Khan Academy: Equivalent fractions, number lines, Comparing fractions of different wholes

From the source of Lumen Learning: Converting Fractions to Equivalent Fractions With the LCD, PROPERTY