Exercise 32 Page 782

Solve for the variable by using the inverse operations.

14.4

Practice makes perfect

To solve the proportion, we can start by using the Multiplication Property of Equality. Before we do that, let's multiply the numerator and denominator of the fraction on the right-hand side by 10 to make calculations easier.

8/n=0.5/0.9

ExpandFrac

a/b=a * 10/b * 10

8/n=5/9

MultEqn

LHS * n=RHS* n

8/n* n=5/9* n

FracMultDenomToNumber

a/n* n = a

8=5/9* n

MoveRightFacToNum

a/c* b = a* b/c

8=5n/9

MultEqn

LHS * 9=RHS* 9

8*9=5n/9*9

FracMultDenomToNumber

a/n* n = a

8*9=5n

Multiply

72=5n

Now, let's use the Division Property of Equality to fully isolate n.

72=5n

DivEqn

.LHS /5.=.RHS /5.

72/5=5n/5

MovePartNumRight

a* b/c=a/c* b

72/5=5/5n

CalcQuot

Calculate quotient

14.4=n

RearrangeEqn

Rearrange equation

n=14.4

Subchapter links

Guided Practice p.778

Independent Practice p.779-780

H.O.T. Problems p.780

Standardized Test Practice p.780-782

Extra Practice p.781

Common Core Review p.782

Exercise 32 Page 782

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