Exercise 7 Page 5

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
2 13	2* 3+1/3	7/3
6 35	6* 5+3/5	33/5

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 7/3 + 33/5 Since 15 is a multiple of 3 and 5, we can multiply both the numerator and denominator of 73 by 5, and multiply both the numerator and denominator of 335 by 3 to create a common denominator.

7/3 + 33/5

ExpandFrac

a/b=a * 5/b * 5

7 * 5/3 * 5 + 33/5

ExpandFrac

a/b=a * 3/b * 3

7 * 5/3 * 5 + 33 * 3/5 * 3

Multiply

Multiply

35/15+99/15

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

35/15+99/15

AddFrac

Add fractions

35+99/15

AddTerms

Add terms

134/15