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Glencoe Math: Course 1, Volume 1

GM

Glencoe Math: Course 1, Volume 1 View details

4. Multiply Mixed Numbers

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Exercise 4 Page 285

Rewrite the expression so that all of the numbers are fractions. Then, multiply both the numerators and the denominators.

25/12 or 2 112

Practice makes perfect

In the given expression, we have two mixed numbers. 1 23 * 1 14 Before we evaluate such expressions, we should rewrite the expression so that all of the numbers are fractions. We can rewrite any mixed number into a fraction using the following method.

a bc

Write as a sum

a+b/c

a = c* a/c

c* a/c+b/c

CommutativePropMult

Commutative Property of Multiplication

a* c/c+b/c

Add fractions

a* c+b/c

Let's first rewrite our expression so that all of the numbers are fractions!

1 23 * 1 14

a bc=a* c+b/c

1* 3+2/3 * 1* 4+1/4

Multiply

3+2/3 * 4+1/4

Add terms

5/3 * 5/4

When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

5/3 * 5/4

Multiply fractions

5* 5/3* 4

Multiply

25/12

The quotient is 2512. We can also write this fraction as a mixed number.

25/12

Write as a sum

24+1/12

Write as a sum of fractions

24/12+1/12

Calculate quotient

2+1/12

Add terms

2 112

Subchapter links

Guided Practice p.284

Independent Practice p.285-286

H.O.T. Problems p.286

Standardized Test Practice p.286-288

Extra Practice p.287

Common Core Review p.288