SOLUTION: please help me solve this problem: 1 3/5x-2 1/4=1 2/3

Algebra ->  College  -> Linear Algebra -> SOLUTION: please help me solve this problem: 1 3/5x-2 1/4=1 2/3      Log On


   

Question 159531: please help me solve this problem: 1 3/5x-2 1/4=1 2/3
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Convert all fractions to improper:
How? Multiply the denominator by the whole number then add the numerator, sorry just in case you might be misleading.
8x%2F5-9%2F4=5%2F3 ----------------------> working eqn
%284%288x%29-5%2A9%29%2F20=5%2F3 get LCD
%2832x-45%29%2F20=5%2F3 cross multiply
32x-45=20%285%2F3%29=100%2F3
32x=100%2F3%2B45 combine similar terms
32x=%28100%2B135%29%2F3 add right term by getting LCD=3
3%2832x%29=235 cross multiply
96x=235 ----> cross%2896%29x%2Fcross%2896%29=235%2F96
x=235%2F96, ANSWER
Check by going back to the working eqn,
8%28235%2F96%29%2F5-9%2F4=5%2F3
1880%2F480-9%2F4=5%2F3
%281880-1080%29%2F480=5%2F3 get LCD on the left fractions=480
800%2F480=5%2F3 divide left term both num.& den. by 160
5%2F3=5%2F3
Thank you,
Jojo