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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.
Stay focused!
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.
There is only one standard method of determining the equal fractions that is as below:
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.
The only way to check whether the fractions are equivalent or not is as follows:
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.
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.
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
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:
Output:
The free equivalent fraction calculator performs the following functions:
The first equivalent fraction of 8/99 is 16/198 that you could also cross check by using our best equivalent fraction calculator.
The fractions that are equal to 1 are as follows:
2/2, 3/3, 4/4, 5/5, 6/6, 7/7, …
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.
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 .
The series 1/7, 2/14, 3/21, 4/28, 5/35, … is exactly equal to the original given fraction.
Equivalent fractions have many applications in the real day world. These include:
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.
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