Exercise 61 Page 86

To solve the equation, we have to isolate f on one side. By multiplying both sides of the equation by 23, we can eliminate 32 and isolate the variable.

3/2f=1/2

MultEqn

LHS * 2/3=RHS* 2/3

3/2f* 2/3=1/2* 2/3

CommutativePropMult

Commutative Property of Multiplication

2/3* 3/2f=1/2* 2/3

MultFracByInverse

a/b* b/a=1

f=1/2* 2/3

MultFrac

Multiply fractions

f=2/6

Therefore, f= 26 is the solution to the equation. To check that we have the correct solution, we can substitute f= 26 into the original equation and simplify.

3/2f=1/2

Substitute

f= 2/6

3/2* 2/6? =1/2

MultFrac

Multiply fractions

6/12? =1/2

ReduceFrac

a/b=.a /6./.b /6.

6/6/12/6? =1/2

CalcQuot

Calculate quotient

1/2=1/2

Since the left-hand side and right-hand side are equal, we have the correct solution.