Exercise 12 Page 286

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

3/2 or 1 12

Practice makes perfect

In the given expression, we have a mixed number. 34* 2 12 * 45 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!

34* 2 12 * 45

MixedToFrac

a bc=a* c+b/c

3/4* 2* 2+1/2 * 4/5

Multiply

3/4* 4+1/2 * 4/5

AddTerms

Add terms

3/4* 5/2 * 4/5

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

3/4* 5/2 * 4/5

MultFrac

Multiply fractions

3* 5* 4/4* 2* 5

CancelCommonFac

Cancel out common factors

3* 5* 4/4* 2* 5

SimpQuot

Simplify quotient

3* 1/1* 2

Multiply

3/2