Question

If 1/10m = 1/11m + 1/1100, what is the value of m?

Answer 1

Hey there! 

Subtract $\frac{1}{11}m$ on each of your sides 

Like: $\frac{1}{10} m - \frac{1}{11}m = \frac{1}{11}m + \frac{1}{1100} - \frac{1}{11}x \\ \\ \frac{1}{110} x = \frac{1}{1100}$

We have to multiply both of your sides by $110$

Like: $110 ( \frac{1}{110} )x = 110( \frac{1}{1100})$

We get: $\frac{1}{10}$

$Answer: x = \frac{1} {10}$

Good luck on your assignment and enjoy your day! 

~$LoveYourselfFirst:)$

Answer 2

$\frac{1}{10m} = \frac{1}{11m} + \frac{1}{1100}$
$\frac{1}{10m} = \frac{1*1100 + 1*11m}{11m*1100}$
$\frac{1}{10m} = \frac{1100 + 11m}{12100m}$
$1*12100m = 10m(1100 + 11m)$
$12100m = 11000m + 110 m^{2}$
$12100m-11000m = 110 m^{2}$
$1100m = 110 m^{2}$
m=10