Question

If $\frac{1}{10}m = \frac{1}{11}m + \frac{1}{1100}$, what is the value of $m$?

Answer 1

`(1)/(10)`

Explanation:

Given :
`(1)/(10)m = (1)/(11)m+(1)/(1100)`

We are supposed to find the value of m

`(1)/(10)m = (1)/(11)m+(1)/(1100)`

Take like terms on same side

`(1)/(10)m-(1)/(11)m=(1)/(1100)`

`(11-10)/(110)m=(1)/(1100)`

`(1)/(110)m=(1)/(1100)`

`m=(1)/(1100) * (110)/(1)`

`m=(1)/(10)`

Hence the value of m is
`(1)/(10)`

Answer 2

(1/10)m = (1/11)m +1/1100
(1/10 -1/11)m = 1/1100
(1/110)m = 1/1100
m = (1/1100)/(1/110) = 110/1100
m = 1/10