SOLUTION: 1/2 + (2/3 / 3/4) - (4/5 x 5/6) = ? Can you help us solve this? Thanks!

Algebra ->  Signed-numbers -> SOLUTION: 1/2 + (2/3 / 3/4) - (4/5 x 5/6) = ? Can you help us solve this? Thanks!      Log On


   

Question 119813: 1/2 + (2/3 / 3/4) - (4/5 x 5/6) = ?
Can you help us solve this? Thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F2%2B%282%2F3%29%2F%283%2F4%29-%284%2F5%29%2A%285%2F6%29 Start with the given expression





1%2F2%2B%282%2F3%29%2A%284%2F3%29-%284%2F5%29%2A%285%2F6%29 Multiply the upper fraction 2%2F3 by the reciprocal of the lower fraction 3%2F4


1%2F2%2B8%2F9-20%2F30 Multiply the fractions



1%2F2%2B8%2F9-2%2F3 Reduce


%289%2F9%29%281%2F2%29%2B%282%2F2%29%288%2F9%29-%286%2F6%29%282%2F3%29 Multiply the first fraction by 9%2F9. Multiply the second fraction by 2%2F2. Multiply the third fraction by 6%2F6.



9%2F18%2B16%2F18-12%2F18 Multiply the fractions



%289%2B16-12%29%2F18 Combine the fractions



13%2F18 Combine the numerators





So 1%2F2%2B%282%2F3%29%2F%283%2F4%29-%284%2F5%29%2A%285%2F6%29=13%2F18