SOLUTION: 5 over 7 divided 9 over14=w+1....solve w

Algebra ->  Equations -> SOLUTION: 5 over 7 divided 9 over14=w+1....solve w      Log On


   

Question 74762: 5 over 7 divided 9 over14=w+1....solve w
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F7%29%2F%289%2F14%29=w%2B1
%285%2F7%29%2A%2814%2F9%29=w%2B1When dividing fractions, you multiply the 1st fraction by the reciprocal of the 2nd (ie %281%2F2%29%2F%281%2F3%29=%281%2F2%29%283%2F1%29=3%2F2
%285%2F1%29%2A%282%2F9%29=w%2B1Notice that 7 goes into 14 2 times so 14%2F7=2
10%2F9-1=w%2Bcross%281-1%29Subtract 1 from both sides
10%2F9-1=w
10%2F9-9%2F9=w
%2810-9%29%2F9=w
1%2F9=w
So
w=1%2F9


Check:
%285%2F7%29%2F%289%2F14%29=1%2F9%2B1
10%2F9=1%2F9%2B9%2F9
10%2F9=10%2F9works