Exercise 10 Page 173

Rewrite the expression so that all of the numbers are fractions. Multiply both the numerators and the denominators. Rewrite your answer as a mixed number.

7 712

Practice makes perfect

Before we evaluate the expression, let's first rewrite the mixed numbers as fractions.

2 16* 3 12

MixedToFrac

a bc=a* c+b/c

2* 6 +1/6* 3 * 2 +1/2

Multiply

12+1/6* 6+1/2

AddTerms

Add terms

13/6 * 7/2

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!

13/6 * 7/2

MultFrac

Multiply fractions

13* 7/6* 2

Multiply

91/12

Note that 91 and 12 do not have common factors. Also, since the denominator is greater than the numerator, we cannot write the quotient as a mixed number. This means that the answer is in the simplest possible form. We can also write this fraction as a mixed number because the numerator is greater than the denominator.

91/12

WriteSum

Write as a sum

84+7/12

WriteSumFrac

Write as a sum of fractions

84/12+7/12

CalcQuot

Calculate quotient

7+7/12

AddTerms

Add terms