Dividing Fractions

Divide two fractions using the "Keep, Change, Flip" method.

Last updated: March 2026 | By ForgeCalc Engineering

Result

0.6667

How to Divide Fractions

Dividing fractions is essentially the same as multiplying by the reciprocal of the second fraction. A common mnemonic for this is "Keep, Change, Flip."

Keep the first fraction as it is.
Change the division sign to a multiplication sign.
Flip the second fraction (find its reciprocal).

The Formula

Fraction Division

(a/b) ÷ (c/d) = (a/b) × (d/c) = ad / bc

Multiply the numerator of the first by the denominator of the second, and the denominator of the first by the numerator of the second.

Example Calculation

Divide 1/2 by 3/4:

1. Keep 1/2, Change ÷ to ×, Flip 3/4 to 4/3

2. Multiply: (1/2) × (4/3) = (1 * 4) / (2 * 3) = 4/6

3. Simplify: 4/6 = 2/3

Final Answer: 2/3 (≈ 0.6667)

Frequently Asked Questions

What is a reciprocal?

The reciprocal of a fraction is found by swapping its numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Can I divide a fraction by a whole number?

Yes. Treat the whole number as a fraction with a denominator of 1. For example, dividing by 5 is the same as dividing by 5/1.

What if the result is an improper fraction?

An improper fraction (where the numerator is larger than the denominator) is a perfectly valid mathematical result. You can leave it as is or convert it to a mixed number.