Exercise 12 Page 286

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. 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

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

Multiply

3/2

The quotient is 32. We can also write this fraction as a mixed number.

3/2

WriteSum

Write as a sum

2+1/2

WriteSumFrac

Write as a sum of fractions

2/2+1/2

CalcQuot

Calculate quotient

1+1/2

AddTerms

Add terms

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