A woman is 66 7/12" tall and her son is 58 7/9" tall. How many inches taller is the woman?

Question

anonymous · Answer

$$ 66\frac{7}{12} -58\frac{7}{9}   $$
$$\frac{799}{12}-\frac{529}{9} $$

anonymous · Answer

Then you can get the numerator to be the same, and find the difference of the fraction to get the difference of heights.

anonymous · Answer

My calculator died on me, so you'll have to figure that bit out on your own.

anonymous · Answer

not sure of next step?

anonymous · Answer

Ok, well, this'll take some time, but I'll show you.

anonymous · Answer

I thought answer was 12".

anonymous · Answer

$$\frac{799\times12}{108}- \frac{529\times12 }{108} $$

anonymous · Answer

sorry, 799times9

anonymous · Answer

how do you get the 108?

anonymous · Answer

ok. 9 x12?

anonymous · Answer

you do 799 times 9 and 529 times 12, so that the bottom can equal 108

anonymous · Answer

$$ \frac{7191-6348}{108} $$

anonymous · Answer

$$ \frac{843}{108}inches$$   should be the answer which you can simplify

anonymous · Answer

Am so lost!

anonymous · Answer

Where did you get lost?

anonymous · Answer

how did you get to the difference in inches when the fractions are so uneven?

anonymous · Answer

I made the fractions even by making them first into Whole fractions, and then making the denominators the same so that I could take away both fractions. Then I got a large Whole fraction, which I placed again into a simplified verion, which is actually 7"87/108 now that I see it.

anonymous · Answer

so 66 7/12 = p (mother)
     58 7/9= h (son)
and subtract h from p to get ?

anonymous · Answer

to get the difference in height of the two, which results in how much taller the woman is than the son.

anonymous · Answer

p= 799*9=7191/108 and h= 529*12=6348/108 reduce to 843/108?

anonymous · Answer

Yup, which is the answer. You can get that as a proper fraction by dividing 843 by 108 and finding the remainder, then placing the remainder over 108, which gives 7 87/108"

anonymous · Answer

so the mother is 7" taller?

anonymous · Answer

yup, 7 and 87/108" taller

anonymous · Answer

or does it have to be 7 87/108" taller?

anonymous · Answer

Yes, it has to be the second as it's 7.80 inches if you use it as a decimal point.

anonymous · Answer

7 87/108" taller

anonymous · Answer

how do i simplify 7 87/108?

anonymous · Answer

7 29/36

anonymous · Answer

that's the most simplified verion.

anonymous · Answer

so the lowest divisible is 3 right?

anonymous · Answer

Yup :)

anonymous · Answer

THANK YOU!

anonymous · Answer

you're welcome :) You understand it now?

anonymous · Answer

yes thanks.

anonymous · Answer

great :)