I need Math help please.

Ok i got a test coming up and i have no one to go to for help.

My question is how do i solve the following question?

1/2 + ( 2/3 divide 3/4 ) - (4/5 x 5/6) = ?

Please show work. Thanks !

NOTE: This Is Me has an error in her third paragraph, unless she edits it. She has 1/2 = 2/18, which is not correct.

I'll break this up, but you can show all work in one equation later.

2/3 divided by 3/4

Any time you have a fraction divided by another fraction, you flip the bottom one over then multiply them

(2/3)/(3/4) = 2/3 x 4/3 = (2 x 4)/(3 x 3) = 8/9

4/5 x 5/6 = (4 x 5)/(5 x 6) = 20/30. If you divide a 10 out of top & bottom, you get 2/3

So now you have

1/2 + 8/9 - 2/3

Now you need all the fractions to have the same bottom number so you can do all the math on the top. The lowest common denominator, or LCD, is 18. This means 18 is the lowest number that 2, 9 & 3 all divide evenly. 18/2 = 9, 18/9 = 2 & 18/6 = 3, you don't need to show this, just explaining it)

So to get all fractions with an 18 on the bottom, you go 1/2 = 9/18, 8/9 = 16/18 and 2/3 = 12/18, so

1/2 + 8/9 - 2/3 = 9/18 + 16/18 - 12/18 = (9 + 16 - 12)/18 = 13/18

Solve the one in bracket first, then you get:

1/2 + (8/9) - (2/3) = ?
1/2 + 8/9 - 2/3 = ? (open brackets)

after that, make the denominator equal... for example, if the highest denominator is 9, you must times the 3 by 3 = 9 and times the 1 by 9 = 9.

Hence, you can add them all together and that's your answer. I hope this will help and good luck for your upcoming exam.

1/2 + ( 2/3 divide 3/4 ) - (4/5 x 5/6)
solve what is in the brackets first
so, ( 2/3 divide 3/4 )
to divide fractions, multiple the first fraction by the reciprocal of the second fraction (flip the second one upside down)
2/3 x 4/3
multiple the numerators (top) across, and the denominators (bottom)