How do I divide fractions?

Multiply the first fraction by the reciprocal of the second: a/b ÷ c/d = a/b × d/c = (a×d)/(b×c). E.g. 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2.

What is a simplified / reduced fraction?

A fraction in its simplest form has no common factors between numerator and denominator other than 1. Divide both by their GCD to simplify. E.g. 6/9 → GCD = 3 → 2/3.

What is a mixed number?

A mixed number combines a whole number and a proper fraction. E.g. 7/4 = 1 and 3/4. CalcPioneer shows the mixed number form automatically when the result is an improper fraction.

Can I use negative fractions?

Yes — enter a negative numerator. E.g. -1/2 + 1/4 = -2/4 + 1/4 = -1/4. The calculator handles signs automatically.

How do I convert a fraction to a decimal?

Simply divide the numerator by the denominator. E.g. 3/8 = 3 ÷ 8 = 0.375. CalcPioneer shows the decimal automatically after every calculation.

Fraction Calculator

★★★★★4.8|👁10,000+ uses|📅Updated Apr 2026

✍Reviewed by Prof. Suresh Kumar, M.Sc.

What is a Fraction Calculator?

A fraction calculator performs arithmetic operations — addition, subtraction, multiplication, and division — on two fractions. It automatically simplifies the result to its lowest terms (using GCD), shows it as a mixed number when applicable, and converts it to a decimal for quick reference.

This is ideal for students, teachers, or anyone working with recipe scaling, measurements, or ratio problems.

Enter Details

Numerator 1

Denominator 1

Operation

Numerator 2

Denominator 2

∑Formula

Add/Subtract: a/b ± c/d = (a×d ± c×b) / (b×d), then simplify by GCD

Multiply: a/b × c/d = (a×c) / (b×d)

Divide: a/b ÷ c/d = (a×d) / (b×c)

Example Calculations

3 examples

Inputs

Numerator 11

Denominator 12

OperationAdd (+)

Numerator 21

Denominator 23

Results

Simplified Fraction5 / 6

Mixed Number5 / 6

Decimal Value0.83

Step-by-Step

1/2 + 1/3 = 3/6 + 2/6 = 5/6 ≈ 0.8333

Click any example to expand and see step-by-step workings. Use "▶ Load this example" to auto-fill the calculator.

How to Add, Subtract, Multiply and Divide Fractions

Add/Subtract: a/b ± c/d = (a×d ± c×b) / (b×d), then simplify
Multiply: a/b × c/d = (a×c) / (b×d), then simplify
Divide: a/b ÷ c/d = a/b × d/c = (a×d) / (b×c), then simplify
Simplify: Divide numerator and denominator by their GCD

Real-World Uses of Fraction Arithmetic

Cooking: Scaling recipes — 2/3 cup × 1.5 = ?
Construction: Measuring lengths in feet and inches (fractions)
Finance: Bond prices quoted as fractions
School maths: Class 5–10 fraction problems
Programming: Ratio and aspect ratio calculations

Why Use CalcPioneer Fraction Calculator?

🆓

Free

no sign-up required

✨

Automatically simplifies to lowest terms

✨

Shows mixed number form

⚡

Decimal equivalent displayed instantly

✨

Step

by-step working for learning

Frequently Asked Questions

Find a common denominator (usually the LCM of the two denominators), convert each fraction, then add the numerators. E.g. 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

More About This Calculator

In-depth guides and tips for getting the most out of this tool.

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