Exercise 1 Page 284

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

19/16 or 1 316

Practice makes perfect

In the given expression, we have a mixed number. 12 * 2 38 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

WriteSum

Write as a sum

a+b/c

NumberToFrac

a = c* a/c

c* a/c+b/c

CommutativePropMult

Commutative Property of Multiplication

a* c/c+b/c

AddFrac

Add fractions

a* c+b/c

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

12 * 2 38

MixedToFrac

a bc=a* c+b/c

1/2 * 2* 8+3/8

Multiply

1/2 * 16+3/8

AddTerms

Add terms

1/2 * 19/8

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!

1/2 * 19/8

MultFrac

Multiply fractions

1* 19/2* 8

Multiply

19/16

The quotient is 1916. We can also write this fraction as a mixed number.

19/16

WriteSum

Write as a sum

16+3/16

WriteSumFrac