Exercise 24 Page 305

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
4 310	4* 10+3/10	43/10
1 34	1* 4+3/4	7/4

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 43/10 - 7/4 Since 20 is a least common denominator of 10 and 4 we can multiply both the numerator and denominator of 4310 by 2 and 74 by 6 to create a common denominator. We will start with the first fraction.

43/10

ExpandFrac

a/b=a * 2/b * 2

43*2/10*2

Multiply

Multiply

86/20

Let's continue with the second fraction.

7/4

ExpandFrac

a/b=a * 5/b * 5

7*5/4*5

Multiply

Multiply

35/20

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

86/20-35/20

SubFrac

Subtract fractions

86-35/20

SubTerm

Subtract term

51/20

CalcQuot

Calculate quotient

2 1120