Question

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

Answer 1

(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

Answer 2

Answer:

$\frac{1}{10}$

Step-by-step explanation:

Given : $\frac{1}{10}m = \frac{1}{11}m+\frac{1}{1100}$

We are supposed to find the value of m

$\frac{1}{10}m = \frac{1}{11}m+\frac{1}{1100}$

Take like terms on same side

$\frac{1}{10}m-\frac{1}{11}m=\frac{1}{1100}$

$\frac{11-10}{110}m=\frac{1}{1100}$

$\frac{1}{110}m=\frac{1}{1100}$

$m=\frac{1}{1100} \times \frac{110}{1}$

$m=\frac{1}{10}$

Hence the value of m is $\frac{1}{10}$