Grade 5 · Math · Lesson 13

Multiply Fractions and Mixed Numbers

Multiplying fractions is faster than adding them — there is no need to find a common denominator. Multiply across: tops together for the new numerator, bottoms together for the new denominator. The same rule covers fraction times fraction, fraction times whole number, and mixed-number multiplication once you switch the mixed numbers to improper fractions first.

What this lesson teaches

1Multiply two fractions by multiplying numerators together and denominators together
2Multiply a fraction by a whole number by writing the whole number over 1
3Use an area model or repeated-shading model to picture a fraction product
4Convert mixed numbers to improper fractions before multiplying, then simplify the result

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