Math & Algebra Tool

Equivalent Fractions

Find fractions that have the same value but use different numerators and denominators.

Scale by
×
3
6
1/2 is exactly the same as 3/6

Σ The Formula

n/d = (n × m) / (d × m)

Real World Examples

Half
1/2 = 2/4 = 3/6 = 50/100.
Scaling Up
To add 1/3 and 1/6, you need to find an equivalent of 1/3 (which is 2/6).

# About This Calculator

Equivalent Fractions are different fractions that name the same part of a whole. Even though they look different (different numbers), their mathematical value is identical.

You can create an equivalent fraction by multiplying or dividing both the top (numerator) and the bottom (denominator) by the same non-zero number. This is a core skill for:

  • Comparing fractions with different denominators.
  • Adding and subtracting fractions.
  • Simplifying complex ratios.

How To Use

  1. Enter your base **Numerator** and **Denominator**.
  2. Enter a **Multiplier** (the scale factor).
  3. The tool calculates the new Numerator and Denominator.
  4. Experiment with different multipliers to see a range of equivalent values.

Frequently Asked Questions

Can I use negative numbers?+

Yes, the principles of equivalent fractions apply to negative rational numbers as well.

What if I divide instead of multiply?+

Dividing both top and bottom by their Greatest Common Divisor (GCD) is the same process, but it 'simplifies' or 'reduces' the fraction instead of scaling it up.

Is Equivalent Fractions free to use?+

Yes, Equivalent Fractions on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Equivalent Fractions?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Equivalent Fractions are accurate for academic and professional use.

Can I use Equivalent Fractions on my phone?+

Yes! Equivalent Fractions is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

Equivalent Fractions are different fractions that name the same part of a whole. Even though they look different (different numbers), their mathematical value is identical.

You can create an equivalent fraction by multiplying or dividing both the top (numerator) and the bottom (denominator) by the same non-zero number. This is a core skill for:

  • Comparing fractions with different denominators.
  • Adding and subtracting fractions.
  • Simplifying complex ratios.

Related Tools

Fraction Calculator

Fraction Simplifier

Fraction to Decimal

Decimal to Fraction