Dividing Fractions Calculator

Work out dividing fractions instantly with clear inputs, formula shown and shareable results.

About Dividing Fractions Calculator

Dividing by a fraction is the same as multiplying by its reciprocal: (a/b) ÷ (c/d) = (a/b) × (d/c) = ad/bc.

Formula

Dividing fractions

(a/b) ÷ (c/d) = ad / bc

Worked example

With the default values below, Dividing Fractions Calculator returns Quotient in lowest terms of 15/8. Change any input above and every figure here is recalculated in your browser.

Inputs used

First numerator: 3
First denominator: 4
Second numerator: 2
Second denominator: 5

Results

Quotient in lowest terms: 15/8
As a mixed number: 1 7/8
Decimal value: 1.87500000
Reciprocal of the divisor: 5/2

Step by step

1Values used
2Dividing fractions
3Quotient in lowest terms= 15/8
4As a mixed number= 1 7/8
5Decimal value= 1.87500000
6Reciprocal of the divisor= 5/2

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is 3/4 ÷ 2/5?

3/4 × 5/2 = 15/8 = 1 7/8 = 1.875.

Why does flipping work?

Dividing by c/d asks how many c/d fit into a/b; multiplying by d/c undoes the scaling, which is the definition of a multiplicative inverse.