Exercise 8 Page 122

We want to find a number equivalent to the given expression. - 2 14-(- 8 38) Before we can evaluate our expression involving mixed numbers, the mixed numbers must first be rewritten as fractions.

a bc	a* c+b/c	Simplify
- 2 14	- (2* 4+1/4)	- 9/4
- 8 38	-(8* 8+3/8)	-67/8

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. - 2 14-(- 8 38) ⇔ - 9/4-(- 67/8) Since 8 is a multiple of 4, we can multiply both the numerator and denominator of - 94 by 2 to create a common denominator.

- 9/4-(- 67/8)

ExpandFrac

a/b=a * 2/b * 2

- 9* 2/4* 2-(- 67/8)

Multiply

Multiply

- 18/8-(- 67/8)

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

- 18/8-(- 67/8)

SubNeg

a-(- b)=a+b

- 18/8+67/8

MoveNegFracToNum

Put minus sign in numerator

-18/8+67/8

AddFrac

Add fractions

- 18+67/8

AddTerms

Add terms

49/8

FracToMixed

Write fraction as a mixed number

6 18

This result corresponds to answer H.