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2 votes
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

User Feru
by
7.7k points

2 Answers

5 votes

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)

User Sugan S
by
7.8k points
4 votes

Answer:


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)

User Sonu Sourav
by
9.0k points

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