Question

Find the difference and reduce to the lowest terms 12 4/9 - 8 5/6 =

A) 3 11/18

B) 3 1/6

C) 3 3/18

D) 4 7/8

Answer 1

Answer:
`3(11)/(18)`

Turn 12 4/9 into an Improper Fraction

Multiply
`12*9` and get
`108`. Now add
`4` and get
`112`.

`12(4)/(9) =(112)/(9)`

Turn 8 5/6 into an Improper Fraction

Multiply
`8*6` and get
`48`. Now add
`5` and get
`53`.

`8(5)/(6) =53/6`

Find Common Denominator

`9: 9,18,27,36,45\\6: 6,12,18,24,30\\\CD=18`

Your new problem:
`(112)/(18)-(53)/(18)`

Subtract

`(112)/(18)-(53)/(18)=(65)/(18)`

Simplify

`(65)/(18) =3(11)/(18)`

Answer 2

`3 (11)/(18)`

Answer A is correct.

Explanation:

`12 (4)/(9) - 8 (5)/(6) \\ (112)/(9) - (53)/(6) \\ ( (112)/(9) ( *6 )/( *6 ) ) - ( (53)/(6) ( * 9)/( * 9) ) \\ (672)/(54) - (477)/(54) \\ = (195)/(54) \\ = (65)/(18) \\ = 3 (11)/(18)`