Exercise 5 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
11 34	11* 4+3/4	47/4
4 13	4* 3+1/3	13/3

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 47/4 - 13/3 Since 12 is a least common denominator of 4 and 3 we can multiply both the numerator and denominator of 474 by 3 and 133 by 4 to create a common denominator. We will start with the first fraction.

47/4

ExpandFrac

a/b=a * 3/b * 3

47*3/4*3

Multiply

Multiply

141/12

Let's continue with the second fraction.

13/3

ExpandFrac

a/b=a * 4/b * 4

52*4/3*4

Multiply

Multiply

52/12

Now, since the denominators are the same, we can subtract the fractions.

141/12-52/12

SubFrac

Subtract fractions

141-52/12

SubTerm

Subtract term

89/12

CalcQuot

Calculate quotient

7 512