Exercise 8 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
9 110	9* 10+1/10	91/10
4 34	4* 4+3/4	19/4

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 91/10 + 19/4 Since 20 is a multiple of 4 and 10, we can multiply both the numerator and denominator of 9110 by 2, and multiply both the numerator and denominator of 194 by 5 to create a common denominator.

91/10 + 19/4

ExpandFrac

a/b=a * 2/b * 2

91 * 2/10 * 2 + 19/4

ExpandFrac

a/b=a * 5/b * 5

91 * 5/10 * 5 + 19 * 5/4 * 5

Multiply

Multiply

182/20+95/20

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

182/20+95/20

SubFrac

Subtract fractions

182-95/20

AddTerms

Add terms

87/20