# Thread: Need more help

1. ## Need more help

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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3. This site been very useful and helpful toward my learning of math

4. Originally Posted by Angel King
This site been very useful and helpful toward my learning of math
[sarcasm] suuuuuuuuuuure [/sarcasm]

What is the difference between 126 1/4 and 78 2/3
we have the numbers $\displaystyle 126\frac{1}{4}$ and $\displaystyle 78\frac{2}{3}$

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