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MULTIPLYING FRACTIONS Multiplying fractions is the operation of multiplying two or more fractions together to find a product. Multiplying fractions is used when finding the area of various shapes or when making half of a recipe. A fraction can be multiplied by another fraction, a whole number or a mixed number. How to use multiplying fractions: • To multiply fractions, simply multiply the numerators first to find the resulting numerator and then the denominators to find the resulting denominator. When multiplying fractions, the resulting fraction should always be reduced to lowest terms if possible. Example: 4/5 x 8/9 = (4 x 8)/(5 x 9) = 32/45 • Sometimes before multiplying the fractions, it is possible to cross cancel to reduce the numerators and denominators. This will make it easier to multiply and possibly get the resulting fraction in lowest terms. Cross canceling can be done with any numerator and denominator, even of the same fraction. Example: 8 x 3 = 1 x 1 = 1 15 16 5 2 10 • When multiplying a fraction by a whole number, turn the whole number into a fraction by making the whole number the numerator and making 1 the denominator and then multiply. When multiplying a fraction by a mixed number, turn the mixed number into an improper fraction and then multiply. • To turn a mixed number into an improper fraction, multiply the denominator by the whole number then add the numerator. The result is the new numerator and the denominator stays the same. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

Try this! 1. Multiply the following fractions: 2/3 x 4/5 = 7/8 x 4/9 = 6/9 x 3/4 = 4/12 x 3/16 = 1/3 x 4 = 5/9 x 6 = 5/6 x 2 2/3 = 7/10 x 3 4/11 = © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.