 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 a b ⋅ c d = ac bd 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 Multiplying Fraction by a Number a b ⋅ c = ac b , because a b ⋅ c = a b ⋅ c 1 = a ⋅ c b ⋅ 1 = ac b . Example 1 Find 3 5 ⋅ 2 7. 3 5 ⋅ 2 7 = 3 ⋅ 2 5 ⋅ 7 = 6 35 Find 4 3 ⋅ 5. 4 3 ⋅ 5 = 4 3 ⋅ 5 1 = 4 ⋅ 5 3 ⋅ 1 = 20 3 Find 1 6 ⋅ 5 3. 1 6 ⋅ 5 3 = 1 ⋅ 5 6 ⋅ 3 = 5 18 Find 7 ⋅ 3 5. 7 ⋅ 3 5 = 7 1 ⋅ 3 5 = 7 ⋅ 3 1 ⋅ 5 = 21 5 

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You can multiply fractions by each other but you can also multiply fractions by a number. Learn about fraction multiplication in this entry.