Math & Education

Fraction Calculator

Add, subtract, multiply, and divide fractions.

Fraction Calculator

Enter two fractions and select an operation.

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Perform Calculations with Fractions

Our comprehensive Fraction Calculator allows you to add, subtract, multiply, and divide fractions, as well as simplify them and convert between fractions and decimals.

What is a Fraction Calculator?

A Fraction Calculator is a mathematical tool designed to handle arithmetic operations involving fractions. It simplifies tasks that can be tedious to perform by hand, such as adding fractions with different denominators, multiplying, dividing, and simplifying fractions to their lowest terms. It also provides tools for converting between decimal numbers and their fractional equivalents.

How It Works: Fraction Arithmetic

The calculator uses standard mathematical rules for fraction operations:

Addition/Subtraction: (a/b) ± (c/d) = (ad ± bc) / bd

Multiplication: (a/b) × (c/d) = ac / bd

Division: (a/b) ÷ (c/d) = ad / bc

After each calculation, it finds the greatest common divisor to present the result in its simplest form.

Frequently Asked Questions

How do you add fractions?

To add fractions, you must first find a common denominator. Then, you convert each fraction to have this common denominator, add the numerators, and keep the denominator the same. Finally, you simplify the resulting fraction. Our calculator automates this entire process.

How do you multiply fractions?

To multiply fractions, you simply multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Then, simplify the result.

How do you simplify a fraction?

To simplify a fraction, you find the Greatest Common Divisor (GCD) of the numerator and the denominator, and then divide both by the GCD. Our 'Simplify Fractions' calculator can do this for you.

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