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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

Respuesta :

Answer: [tex]3\frac{11}{18}[/tex]

Turn 12 4/9 into an Improper Fraction

Multiply [tex]12*9[/tex] and get [tex]108[/tex]. Now add [tex]4[/tex] and get [tex]112[/tex].

[tex]12\frac{4}{9} =\frac{112}{9}[/tex]

Turn 8 5/6 into an Improper Fraction

Multiply [tex]8*6[/tex] and get [tex]48[/tex]. Now add [tex]5[/tex] and get  [tex]53[/tex].

[tex]8\frac{5}{6} =53/6[/tex]

Find Common Denominator

[tex]9: 9,18,27,36,45\\6: 6,12,18,24,30\\\CD=18[/tex]

Your new problem: [tex]\frac{112}{18}-\frac{53}{18}[/tex]

Subtract

[tex]\frac{112}{18}-\frac{53}{18}=\frac{65}{18}[/tex]

Simplify

[tex]\frac{65}{18} =3\frac{11}{18}[/tex]

Hi1315

Answer:

[tex]3 \frac{11}{18} [/tex]

Answer A is correct.

Step-by-step explanation:

[tex]12 \frac{4}{9} - 8 \frac{5}{6} \\ \frac{112}{9} - \frac{53}{6} \\ ( \frac{112}{9} \frac{ \times6 }{ \times6 } ) - ( \frac{53}{6} \frac{ \times 9}{ \times 9} ) \\ \frac{672}{54} - \frac{477}{54} \\ = \frac{195}{54} \\ = \frac{65}{18} \\ = 3 \frac{11}{18} [/tex]