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Encyclopedia>Numbers and Quantities>Fractions and Percentages>Fractions Arithmetic>Multiplication and Division of Fractions>How to Multiply Fractions

Video Crash Courses

Want to watch animated videos and solve interactive exercises about how you can multiply fractions?

Click here to try the Video Crash Course called “Multiplying Fractions”!

Multiplying fractions is actually pretty easy, and the rules are simple.

Rule

Multiplying Fraction by Fraction

\frac{a}{b} \cdot \frac{c}{d} = \frac{a c}{b d}

Multiplying a fraction by another fraction and multiplying a fraction by an integer are two of the easiest operations you will learn. That’s really fun! When multiplying a fraction by another fraction, you simply multiply numerator by numerator and denominator by denominator.

When you multiply a fraction by an integer, you just multiply the integer by the numerator. This works because you can rewrite the integer as a fraction with $1$ as its denominator. From there you simply multiply numerator by numerator and denominator by denominator.

Formula