Exercise 7 Page 310

Before we can evaluate a sum or difference involving mixed numbers, the mixed numbers must first be rewritten as fractions.

a bc	a* c+b/c	Simplify
8 34	8* 4+3/4	35/4
2 512	2* 12+5/12	29/12

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 35/4 - 29/12 Since 12 is a multiple of 4, we can multiply both the numerator and denominator of 354 by 3 to create a common denominator.

35/4-29/12

ExpandFrac

a/b=a * 3/b * 3

35* 3/4* 3-29/12

Multiply

Multiply

105/12-29/12

Now that we have a common denominator, we can proceed to simplifying the expression.

105/12-29/12

SubFrac

Subtract fractions

105-29/12

SubTerm

Subtract term

76/12

ReduceFrac

a/b=.a /4./.b /4.

19/3

CalcQuot

Calculate quotient

6 13