If (1)/(10)m=(1)/(11)m+(1)/(1100), than what is the value of m

Question

If
`(1)/(10)m`=
`(1)/(11)m`+
`(1)/(1100)`, than what is the value of m

Answer 1

Hello,
1/10m=1/11m+1/1100;
110m/1100=100m+1/1100;
1100×110m/1100=100m+1/1100×1100;
110m=100m+1;
110m-100m=1;
10m=1;
m=1/10

Bye :-)