Multiply Fractions Example

Grades 5-6Key Stage 2Årskurs 5-6

Problem

Multiply the fractions: 2/3 × 4/5

📝Step-by-Step Solution

Understand the rule

Unlike addition, multiplying fractions is straightforward: multiply the numerators together and multiply the denominators together.

a/b × c/d = (a×c)/(b×d)

Multiply the numerators

Multiply the top numbers: 2 × 4 = 8

Numerator: 2 × 4 = 8

Multiply the denominators

Multiply the bottom numbers: 3 × 5 = 15

Denominator: 3 × 5 = 15

Write the result

Combine to get the answer: 8/15

2/3 × 4/5 = 8/15

Simplify if needed

Check if 8 and 15 have common factors. They don't (8 = 2³, 15 = 3×5), so 8/15 is already simplified.

✅Final Answer

8/15

Multiplying fractions is easier than adding! No common denominator needed. Just multiply straight across: tops × tops and bottoms × bottoms. Pro tip: You can simplify before multiplying by canceling common factors diagonally.

Ready to Practice Fractions?

Generate a personalized practice test with MathQuizily. Get instant PDF downloads with answer keys.

Create Ready-to-Use Math Test (PDF)Ready in minutes. No editing needed.Open the AI math test generator

Learn more about Fractions

This worked example is part of the broader fractions guide. Review the method, practice related skills, and create a printable assessment when you are ready.

Open the Fractions guide

📖More Fractions Examples

Add 2/3 + 3/4 Step by Step

Calculate: 2/3 + 3/4

Medium

Add Fractions Step by Step

Add the fractions: 1/4 + 2/3

Easy

Subtract Fractions Step by Step

Subtract the fractions: 5/6 - 1/4

Easy

Divide Fractions Example

Divide the fractions: 3/4 ÷ 2/5

Medium

Back to Fractions Guide

Build the assessment, not just the questions

MathQuizily helps teachers move from a topic or standard to a printable math test with answer keys, balanced difficulty, and classroom-ready PDF output.

A useful assessment should make the learning target clear, cover the intended skills, and give the teacher enough information to review the result before students see it. The workflow supports short quizzes, chapter checks, diagnostic tests, homework packets, make-up assessments, and equivalent retake versions.

Choose a grade, topic, curriculum context, and difficulty level. The generated PDF includes a student version and a separate worked answer key, so teachers can print, review, and grade without reformatting questions or building solutions from scratch. No student account is required to create or print a test.