Exercise 22 Page 287

In the given expression, we have two mixed numbers. 3 35 * 5 512 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!

3 35 * 5 512

MixedToFrac

a bc=a* c+b/c

3* 5+3/5 * 5* 12+5/12

Multiply

Multiply

15+3/5 * 60+5/12

AddTerms

Add terms

18/5 * 65/12

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!

18/5 * 65/12

MultFrac

Multiply fractions

18* 65/5* 12

Rewrite

Rewrite 18 as 6* 3

6* 3* 65/5* 12

Rewrite

Rewrite 12 as 6* 2

6* 3* 65/5* 6* 2

Rewrite

Rewrite 65 as 5* 13

6* 3* 5* 13/5* 6* 2

CancelCommonFac

Cancel out common factors

6* 3* 5* 13/5* 6* 2

SimpQuot

Simplify quotient

3* 13/1* 2

Multiply

Multiply

39/2

The quotient is 392. We can also write this fraction as a mixed number.

39/2

WriteSum

Write as a sum

38+1/2

WriteSumFrac

Write as a sum of fractions

38/2+1/2

CalcQuot

Calculate quotient

19+1/2

AddTerms

Add terms

19 12