Multiplying Fractions Calculator 2026-27 — GlobalCalc

GlobalCalc

Inputs

First fraction — numerator

First fraction — denominator

Second fraction — numerator

Second fraction — denominator

Results update as you type

Results

Answer in lowest terms

1/6

As a mixed number—

As a decimal—

As a percentage—

Before simplifying—

Divided top and bottom by—

Reviewed September 2026. Pure mathematics: the result does not depend on where you are. Terminology follows the national curriculum (maths, brackets, decimal point).

All calculations run 100% in your browser. The calculator code does not submit your figures to GlobalCalc to obtain a result.

About multiplying fractions

Method

How the multiplying fractions calculator works

Multiplying fractions needs no common denominator: multiply the numerators, multiply the denominators, reduce. 2/3 × 3/4 = 6/12 = 1/2.

It is worth noticing that multiplying by a proper fraction makes a number smaller, which is the opposite of what "multiply" suggests. Two-thirds of three-quarters is less than either.

Formula: a/b + c/d = (ad + cb) / bd; a/b × c/d = ac / bd; a/b ÷ c/d = ad / bc

Data

Worked examples

Inputs	Answer in lowest terms	Note
2/3 × 3/4	1/2	1/2
Half of a half	1/4	1/4
Multiplying past one	10/3	10/3, or 3 1/3

FAQ

Frequently asked questions

How do I multiply fractions?

Multiply the tops, multiply the bottoms, then reduce. 2/3 × 3/4 = 6/12 = 1/2.

Do I need a common denominator?

No — that is only for adding and subtracting. Multiplication needs nothing in common.

Why does multiplying make it smaller?

Because multiplying by a proper fraction means taking a part of something. Two-thirds of a number is less than the number.

What does "of" mean in fractions?

Multiply. Half of three-quarters is 1/2 × 3/4 = 3/8.

Can I cancel before multiplying?

Yes, and it keeps the numbers small — cancel any factor shared by a numerator and a denominator first.

Sources

Where these figures come from

NIST Digital Library of Mathematical Functions — reference definitions for elementary and special functions
Wolfram MathWorld — definitions and formulas for every topic on this page
NIST/SEMATECH e-Handbook of Statistical Methods — the statistical formulas (mean, variance, z, confidence intervals, sample size)
National curriculum in England — Mathematics — the terms and methods taught in UK schools

Last checked: September 2026. Formulas are fixed by mathematics and do not change with tax years or regulations.