Question

Brian spends 2/3 of his wages on bills. He spends 1/5 of his wages on clothes. The rest of his wages he saves. What fraction of his wages does Brian save?

Please help I don't get this question.

Answer 1

`(2)/(15)`

Explanation:

1. Write out what we know as an expression: 2/3 + 1/5
2. What the LCM for the 2 denominators: the LCM is 15
3. change the fractions, so they share a common denominator:
   `(2)/(3) = (10)/(15)`,
   `(1)/(5) = (3)/(15)`
4. Re-write the expression: 10/15 + 3/15
5. 10/15 + 3/15 = 13/15
6. Now that we got that, we need to figure out the last part. We want to know how much he saved, which the problem says is the remaining wages.
7. So, how many 15ths are left? We have 13 out of 15, so the remaining will be our answer: 15 - 13 = 2

I hope this helps!