Answer:
[tex]\frac{7}{48} = B[/tex]
Step-by-step explanation:
Convert 3 to fraction 12\4
5\8 - 5\12( 12\4 - 1\4 ) + 2\3
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Since 12\4 and 1\4 have the same denominator, subtract them by subtracting their numerators.
5\8 - 5\12 ( 12-1\4 ) + 2\3
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Subtract 1 from 12 to get 11.
5\8 - 5\12 ( 11\4 ) + 2\3
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multiply 5\12 times 11\4 by multiplying numerator times numerator and denominator times denominator.
5\8 - 5 x 11 \ 12 x 4 + 2\3
Do the multiplications in the fraction
5 x 11 \ 12 x 4
= 5\8 - 55\48 + 2\3
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Least common multiple of 8 and 48 is 48.Convert 5\8 and 55\48 to fractions with denominator 48.
30\48 - 55\48 + 2\3
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Since 30\48 and 55\48 have the same denominator, subtract them by subtracting their numerators.
30 - 55 \ 48 + 2\3
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Subtract 55 from 30 to get −25.
-25\48 + 2\3
Least common multiple of 48 and 3 is 48. Convert -25\48 and 2\3 to fractions with denominator 48.
-25\48 + 32\48
Since -25\48 and 32\48 have the same denominator, add them by adding their numerators.
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-25 + 32 \ 48
Add −25 and 32 to get 7.
7\48
