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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. Writing and Solving Proportions
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Exercise 21 Page 208

Use the Multiplication Property of Equality to eliminate the division.

y = 7 13, see solution.

Practice makes perfect
Notice that in the given equation y is only present within the numerator of a single fraction. y/9 = 44/54Let's use the Multiplication Property of Equality and multiply multiply both sides of the equation by 9. This will eliminate the denominator of the fraction and isolate y.
y/9 = 44/54
MultEqn

LHS * 9=RHS* 9

9 * y/9 = 9 * 44/54
DenomMultFracToNumber

9 * a/9= a

y = 9 * 44/54
MoveLeftFacToNum

a*b/c= a* b/c

y = 396/54
ReduceFrac

a/b=.a /18./.b /18.

y = 396Ă· 18/54Ă· 18
CalcQuot

Calculate quotient

y = 22/3
Now let's write the fraction as a mixed number.
y = 22/3
WriteSum

Write as a sum

y = 21 + 1/3
WriteSumFrac

Write as a sum of fractions

y = 21/3 +1/3
CalcQuot

Calculate quotient

y = 7 +1/3
AddTerms

Add terms

y = 7 13
Subchapter links expand_more
arrow_right Try It p.204-206
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Try It 2 (Page 204)
Try It 3 (Page 204)
Try It 4 (Page 204)
Try It 5 (Page 204)
Try It 6 (Page 204)
Try It 7 (Page 205)
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Try It 9 (Page 205)
Try It 10 (Page 205)
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Try It 12 (Page 205)
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arrow_right Self-Assessment for Concept & Skills p.206
Self-Assessment for Concept & Skills 14 (Page 206)
Self-Assessment for Concept & Skills 15 (Page 206)
Self-Assessment for Concept & Skills 16 (Page 206)
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arrow_right Self-Assessment for Problem Solving p.207
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arrow_right Review & Refresh p.208
Review & Refresh 1 (Page 208)
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Review & Refresh 7 (Page 208)
arrow_right Concept, Skills, & Problem Solving p.208-210
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