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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
4. Factorizing Expressions
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Exercise 6 Page 113

Start by rewriting the mixed numbers as fractions.

- 2 18

Practice makes perfect

Before we can evaluate a difference involving mixed numbers, the mixed numbers must first be rewritten as fractions.

a bc a* c+b/c Simplify
- 4 38 -( 4* 8+3/8) - 35/8
- 2 14 -(2* 4+1/4) -9/4
When subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. - 35/8 - (-9/4) Since 8 is a multiple of 4, we can multiply both the numerator and denominator of - 94 by 2 to create a common denominator.
- 35/8 - (-9/4)
ExpandFrac

a/b=a * 2/b * 2

- 35/8 - (-9 * 2/4 * 2)
Multiply

Multiply

- 35/8 - (-18/8)
Now that we have a common denominator, we can proceed to simplifying the expression.
- 35/8 - (-18/8)
MoveNegFracToNum

Put minus sign in numerator

- 35/8 - (-18/8)
SubNeg

a-(- b)=a+b

- 35/8+ 18/8
AddFrac

Add fractions

- 35+18/8
AddTerms

Add terms

- 17/8
MoveNegNumToFrac

Put minus sign in front of fraction

- 17/8
FracToMixed

Write fraction as a mixed number

- 2 18
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arrow_right Try It p.110-111
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Try It 8 (Page 111)
arrow_right Self-Assessment for Concept & Skills p.111
Self-Assessment for Concept & Skills 9 (Page 111)
Self-Assessment for Concept & Skills 10 (Page 111)
Self-Assessment for Concept & Skills 11 (Page 111)
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arrow_right Self-Assessment for Problem Solving p.112
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arrow_right Review & Refresh p.113
Review & Refresh 1 (Page 113)
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arrow_right Concept, Skills, & Problem Solving p.113-114
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