SOLUTION: 6-w=1 4/5 I know how to find the answer by using common sense. However, I'm used to problems like this: w - 6=1 4/5 I would know to use the opposite operation and add 6 to b

Algebra ->  Average -> SOLUTION: 6-w=1 4/5 I know how to find the answer by using common sense. However, I'm used to problems like this: w - 6=1 4/5 I would know to use the opposite operation and add 6 to b      Log On


   



Question 637704: 6-w=1 4/5
I know how to find the answer by using common sense. However, I'm used to problems like this:
w - 6=1 4/5
I would know to use the opposite operation and add 6 to both sides, etc...I just don't know the formula on figuring out the original problem. My textbook does not give me any guidance or example problems.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
6-w=1 4/5
convert mixed number to an improper fraction; 5/5 + 4/5
6 - w = 9%2F5
multiply both sides by 5 to get rid of the denominator
5(6-w) = 9
30 - 5w = 9
Subtract 9 from both sides, add 5w to both sides
30 - 9 = 5w
21 = 5w
Divide both sides by 5
w = 21%2F5 or 41%2F5 as a mixed number
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:
Check this out in the original problem using improper fractions
6 - 21%2F5 = 9%2F5
Convert 6 to an improper fraction with 5 as the denominator
30%2F5 - 21%2F5 = 9%2F5