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Equivalent Fractions Calculator

Write down the fraction, mixed number, or simple integer. The calculator will determine its equivalent fractions instantly.

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Number of equivalent fractions:

2nd Fraction:

1st Fraction:

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Quickly generate equivalent fractions for integers, proper fractions, or mixed numbers using this free equivalent fractions calculator. You can also use it to verify whether two fractions represent the same value.

What Are Equivalent Fractions?

Fractions that may look different but have the same value are called equivalent fractions.

Equivalent fractions can have distinct numerators and denominators but represent the same proportion of a whole. You can confirm this by simplifying them to their lowest terms or converting them to decimals.

Finding Equivalent Fractions

The standard approach is simple:

Multiply both the numerator and denominator by the same number. This keeps the fraction’s value unchanged while creating a new form.

Our equivalent fractions calculator can instantly generate many equivalent fractions for any given input.

Checking for Equivalence

Two fractions are equivalent if:

They simplify to the same lowest terms.
Or their decimal values are equal.

Equivalent Fractions Table

Here’s a handy table of common fractions and some of their equivalent forms:

Fraction / Integer / Mixed Number	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, …
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, …
4/3	8/6, 12/9, 16/12, 20/15, …
1 1/2	3/2, 6/4, 9/6, 12/8, …
4 5/6	58/12, 87/18, 116/24, 145/30, …

All these fractions can be verified using a free equivalent fractions calculator.

Example Calculations

Example 1:

Find the first five equivalent fractions of 2/2.

2/2 × 2/2 = 4/4
2/2 × 3/3 = 6/6
2/2 × 4/4 = 8/8
2/2 × 5/5 = 10/10
2/2 × 6/6 = 12/12

Example 2:

Equivalent fractions for 1/4:

1/4 × 2/2 = 2/8
1/4 × 3/3 = 3/12
1/4 × 4/4 = 4/16

Example 3:

Equivalent fractions for 5/6:

5/6 × 2/2 = 10/12
5/6 × 3/3 = 15/18
5/6 × 4/4 = 20/24

How the Calculator Works

The equivalent fractions calculator allows you to:

Generate multiple equivalent fractions from a given fraction.
Verify whether two fractions are equal.

Input:

Choose whether you want to find equivalents or check equivalency.
Enter the fraction or mixed number values.
Click "Calculate".

Output:

Generates multiple equivalent fractions
Confirms equivalency between two fractions

FAQs

What is an equivalent fraction of 8/99?

16/198 is one equivalent fraction.

What fractions equal 1?

2/2, 3/3, 4/4, 5/5, …

How do you write 3 as a fraction?

3 can be written as 3/1.

Equivalent fractions for 6/8?

6/8, 12/16, 18/24, 24/32, 30/40, …

Equivalent fractions for 1/7?

1/7, 2/14, 3/21, 4/28, 5/35, …

Real-life applications of equivalent fractions:

Dividing pizza slices
Measuring time intervals
Calculating discounts

Conclusion

Mastering equivalent fractions is a key skill in math. Use a free equivalent fractions calculator to simplify computations and verify results quickly.

References

Wikipedia: Fraction
Khan Academy: Equivalent Fractions on Number Lines
Lumen Learning: Converting Fractions to Equivalent Fractions

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