Math & Algebra Tool

Comparing Fractions Calculator

Quickly determine which of two fractions is larger using cross-multiplication or common denominators.

VS

Σ The Formula

a/b vs c/d → (a×d) vs (b×c)

Real World Examples

Standard Fractions
3/5 vs 4/7 → 21 > 20, so 3/5 is larger.
Equivalent Fractions
2/4 vs 1/2 → 4 = 4, so they are equal.

# About This Calculator

Comparing Fractions is a core skill in early algebra. Because the denominator (the divisor) can be different for each fraction, it's not always obvious which value is larger at first glance.

One of the most efficient mathematical ways to compare them is the Cross-Multiplication Method. By multiplying the numerator of the first by the denominator of the second, and vice-versa, you effectively bring both to a common denominator ($b \times d$) and compare only the numerators.

How To Use

  1. Enter the numerator and denominator for the **First Fraction**.
  2. Enter the numerator and denominator for the **Second Fraction**.
  3. Click **Compare Fractions**.
  4. The result will show if the first is greater than, less than, or equal to the second.

Frequently Asked Questions

Can I use decimals in the fraction?+

This tool is designed for integers. For decimals, it's easier to compare them directly by aligning the decimal point.

What if the denominators are negative?+

The math still works! However, typically in mathematics, we move the negative sign to the numerator for clarity.

Is Comparing Fractions Calculator free to use?+

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

How accurate is Comparing Fractions Calculator?+

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

Can I use Comparing Fractions Calculator on my phone?+

Yes! Comparing Fractions Calculator 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

Comparing Fractions is a core skill in early algebra. Because the denominator (the divisor) can be different for each fraction, it's not always obvious which value is larger at first glance.

One of the most efficient mathematical ways to compare them is the Cross-Multiplication Method. By multiplying the numerator of the first by the denominator of the second, and vice-versa, you effectively bring both to a common denominator ($b \times d$) and compare only the numerators.

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