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Fractions & Mixed Numbers • Lesson 9 ⏱ 5 min read 📅 Updated Nov 2026

How to Multiply Fractions: Top Times Top, Bottom Times Bottom

The easiest fraction operation! Multiply numerators straight across, multiply denominators straight across, and cancel common factors.

Interactive Visual Math Explorer Explore Pizza & Fractions

Slice the pizza or slide the fraction bar to observe how fractions, decimals, and percentages relate in real time:

Interactive Visual Explorer

Area Model of Fraction Multiplication

Try:
Good News!

Multiplying fractions is the easiest fraction operation in all of mathematics! You do NOT need to find a common denominator. Simply multiply straight across!

6 / 12 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2
Area Model: 2/3 of 3/4 Overlaps Exactly Half of the Whole Grid!

The Universal Multiplication Formula

ab × cd = a × cb × d

Example: 23 × 45 = 2 × 43 × 5 = 815.

The Cross-Cancelling Shortcut (Save Time Simplifying)

If any top number shares a factor with any bottom number, simplify them before multiplying:

34 × 45 → Cancel common 4s → 31 × 15 = 35
Try It Yourself

Practice with Our Interactive Fraction Calculator

Check your calculations or explore full step-by-step solutions instantly.

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Solved Step-by-Step Examples:2/3 Ɨ 3/41/2 Ɨ 4/5
Your Turn!

Check Your Understanding (3 Quick Questions)

Score: 0 / 3

Question 1: Do you need a common denominator to multiply fractions?

Question 2: Calculate 3/5 Ɨ 2/7:

Question 3: What is 1/2 of 1/2 visually?