Exercise 4 Page 303

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
9 45	9* 5+4/5	49/5
2 310	2* 10+3/10	23/10

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with the same denominator. 49/5 - 23/10 Since 10 is a multiple of 5, we can multiply both the numerator and denominator of 495 by 2 to create a common denominator.

49/5-23/10

ExpandFrac

a/b=a * 2/b * 2

49*2/5*2-23/10

Multiply

Multiply

98/10-23/10

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

98/10-23/10

SubFrac

Subtract fractions

98-23/10

SubTerm

Subtract term

75/10

ReduceFrac

a/b=.a /5./.b /5.

15/2

CalcQuot

Calculate quotient

7 12