Multiplication of Fractions Calculator

Published on: March 10, 2024

Final Answer: Free • Full Steps: Free

This Multiplication of Fractions Calculator helps you multiply two fractions and shows the working clearly at every step. Multiplying fractions is the easiest of the four, because the denominators do not have to match first. Multiply the two numerators to get the new numerator, then multiply the two denominators to get the new denominator. Then check whether the answer can be written with smaller numbers. Following the same pattern every time is what makes multiplying fractions easy to picture, check, and repeat on your own with any two fractions.

Step-by-step method

Set up the problem.
Multiply the numerators, then multiply the denominators.
Do a simplifying of fractions at the end if you can.

See Example 1 Hide Example 1

Problem

\(\frac{3}{4} \times \frac{1}{2}\)

Approach

Step-by-step method

Set up the problem.
Multiply the numerators, then multiply the denominators.
Do a simplifying of fractions at the end if you can.

Step 1

Step 1 - Set up the problem.

In this problem: We are multiplying \(\frac{3}{4}\) and \(\frac{1}{2}\).

\(\frac{3}{4} \times \frac{1}{2}\)

Step 2

Step 2 - Multiply the numerators, then multiply the denominators.

In this problem: Multiply the numerators: \(3 \times 1 = 3\). Multiply the denominators: \(4 \times 2 = 8\).

\(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}\)

Step 3

Step 3 - Do a simplifying of fractions at the end if you can.

In this problem: The only number that divides both \(3\) and \(8\) is \(1\), and \(3 \div 1 = 3\), so nothing changes.

\(\frac{3}{8}\)

Final Answer

\(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}\)

See Example 2 Hide Example 2

Problem

\(\frac{5}{10} \times \frac{2}{4}\)

Approach

Step-by-step method

Set up the problem.
Multiply the numerators, then multiply the denominators.
Do a simplifying of fractions at the end if you can.

Step 1

Step 1 - Set up the problem.

In this problem: We are multiplying \(\frac{5}{10}\) and \(\frac{2}{4}\).

\(\frac{5}{10} \times \frac{2}{4}\)

Step 2

Step 2 - Multiply the numerators, then multiply the denominators.

In this problem: Multiply the numerators: \(5 \times 2 = 10\). Multiply the denominators: \(10 \times 4 = 40\).

\(\frac{5}{10} \times \frac{2}{4} = \frac{10}{40}\)

Step 3

Step 3 - Do a simplifying of fractions at the end if you can.

In this problem: The biggest number that divides both \(10\) and \(40\) is \(10\). Dividing each by it gives \(10 \div 10 = 1\) and \(40 \div 10 = 4\).

\(\frac{10}{40} = \frac{1}{4}\)

Problem

\(\frac{10}{40}\)

Approach

Step-by-step method

Set up the problem.
List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
Divide the numerator and the denominator by that number.

Step 1

Step 1 - Set up the problem.

In this problem: We are simplifying \(\frac{10}{40}\).

\(\frac{10}{40}\)

Step 2

Step 2 - List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.

In this problem: Listing what divides each one, both lists contain \(1, 2, 5, 10\). The biggest of those is \(10\), so \(10\) is the number to divide by.

\(10\)12510

\(40\)12458102040

Step 3

Step 3 - Divide the numerator and the denominator by that number.

In this problem: Divide both by \(10\): \(10 \div 10 = 1\) and \(40 \div 10 = 4\).

\(\frac{10}{40} = \frac{1}{4}\)

Final Answer

\(\frac{1}{4}\)

Final Answer

\(\frac{5}{10} \times \frac{2}{4} = \frac{1}{4}\)

Example Problems

Click one to load it into the box and solve it.