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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 3 Page 284

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

30/7 or 4 27

Practice makes perfect

In the given expression, we have two mixed numbers. 1 23 * 2 47 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 * 2 47

a bc=a* c+b/c

1* 3+2/3 * 2* 7+4/7

Multiply

3+2/3 * 14+4/7

Add terms

5/3 * 18/7

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 * 18/7

Multiply fractions

5* 18/3* 7

Rewrite 18 as 3* 6

5* 3* 6/3* 7

CancelCommonFac

Cancel out common factors

5* 3* 6/3* 7

Simplify quotient

5* 6/1* 7

Multiply

30/7

The quotient is 307. We can also write this fraction as a mixed number.

30/7

Write as a sum

28+2/7

Write as a sum of fractions

28/7+2/7

Calculate quotient

4+2/7

Add terms

4 27

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