Question

Simplify the rational expression. (Your final answer should have one term.)


`(3)/(4) - (2)/(9) + (3)/(2)`

Answer 1

• 2 1/36

Explanation:

• 3/4 - 2/9 + 3/2 =
• 3/4*9/9 - 2/9*4/4 + 3/2*18/18 = ⇒ Common denominator LCM(4,9,2)=36
• 27/36 - 8/36 + 54/36 =
• (27 - 8 + 54)/36 =
• 73/36 =
• 2 1/36

Answer 2

`(73)/(36)`

Explanation:

`(3)/(4)` -
`(2)/(9)` +
`(3)/(2)`

1. Convert all the fractions to a common denominator.

For this problem, the common denominator will be 36

`(3)/(4)` * 9 =
`(27)/(36)`

`(2)/(9)` * 4 =
`(8)/(36)`

`(3)/(2)` * 18 =
`(54)/(36)`

2. Substitute the values back into the equation, and solve

`(3)/(4)` -
`(2)/(9)` +
`(3)/(2)`

=
`(27)/(36)` -
`(8)/(36)` +
`(54)/(36)`

=
`(19)/(36)` +
`(54)/(36)`

=
`(73)/(36)`