Exercise 8 Page 310

Begin by rewriting the given mixed numbers as improper fractions. To add or subtract fractions, they need to have the same denominator.

3 56

Practice makes perfect

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
5 16	5* 6+1/6	31/6
1 13	1* 3+1/3	4/3

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 31/6 - 4/3 Since 6 is a multiple of 3, we can multiply both the numerator and denominator of 43 by 2 to create a common denominator.

31/6-4/3

ExpandFrac

a/b=a * 2/b * 2

31/6-4* 2/3* 2

Multiply

31/6-8/6

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

31/6-8/6

SubFrac

Subtract fractions

31-8/6

SubTerm