What is the difference between 126 1/4 and 78 2/3

A) 58 5/12

B) 57 7/12

C) 48 1/3

D) 47 7/12

My answer is d

What do you think?

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- Aug 24th 2006, 05:44 PM #1

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- Aug 24th 2006, 05:46 PM #2

- Aug 24th 2006, 05:52 PM #3

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- Aug 24th 2006, 06:02 PM #4Originally Posted by
**Angel King***suuuuuuuuuuure*[/sarcasm]

What is the difference between 126 1/4 and 78 2/3

we have to find the value of $\displaystyle 126\frac{1}{4}-78\frac{2}{3}$

simplify: $\displaystyle \frac{1+126\times4}{4}-\frac{2+78\times3}{3}$

multiply: $\displaystyle \frac{1+504}{4}-\frac{2+234}{3}$

add: $\displaystyle \frac{505}{4}-\frac{236}{3}$

find like denominators: $\displaystyle \frac{505\times3}{4\times3}-\frac{236\times4}{3\times4}$

multiply: $\displaystyle \frac{1515}{12}-\frac{944}{12}$

combine fractions: $\displaystyle \frac{1515-944}{12}$

subtract: $\displaystyle \frac{571}{12}$

simplify: $\displaystyle \boxed{47\frac{7}{12}}$

therefore the answer is d