SOLUTION: 1/2 + (2/3÷3/4) -( 4/5 x 5/6 )=

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Question 279865: 1/2 + (2/3÷3/4) -( 4/5 x 5/6 )=
Answer by JenniferTutors(83) About Me  (Show Source):
You can put this solution on YOUR website!
For this equation:
1/2 + (2/3÷3/4) -( 4/5 x 5/6 )=
In the first parenthesis, you cannot divide fractions, you would multiply the reciprocal of the second fraction, shown below:
3/4 changes to 4/3
%282%2F3%29%284%2F3%29
1%2F2+%2B+%282%2F3%29%284%2F3%29+-+%284%2F5%29%285%2F6%29
Next, multiply the first parenthesis: %282%2F3%29%284%2F3%29=8%2F9
1%2F2+%2B+%288%2F9%29+-+%284%2F5%29%285%2F6%29
Then multiply the second parenthesis: %284%2F5%29%285%2F6%29=20%2F30 This can simplify to 2%2F3
Now your equation looks like this:
1%2F2+%2B+8%2F9+-+2%2F3
To add these fractions, find a the lowest common denominator for the three numbers, in this case it is 18.
Change the fractions so the denominator equals 18, so you can add them after.
%281%2F2%29+x+%289%2F9%29+=+9%2F18
%288%2F9%29+x+%282%2F2%29+=+16%2F18
%282%2F3%29+x+%286%2F6%29+=+12%2F18
Now add the like fractions:
9%2F18+%2B+16%2F18+-+12%2F18
9 + 16 = 25
25 - 12 = 13
13%2F18