Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Given : [tex]\frac{1}{10}m = \frac{1}{11}m+\frac{1}{1100}[/tex]
We are supposed to find the value of m
[tex]\frac{1}{10}m = \frac{1}{11}m+\frac{1}{1100}[/tex]
Take like terms on same side
[tex]\frac{1}{10}m-\frac{1}{11}m=\frac{1}{1100}[/tex]
[tex]\frac{11-10}{110}m=\frac{1}{1100}[/tex]
[tex]\frac{1}{110}m=\frac{1}{1100}[/tex]
[tex]m=\frac{1}{1100} \times \frac{110}{1}[/tex]
[tex]m=\frac{1}{10}[/tex]
Hence the value of m is [tex]\frac{1}{10}[/tex]
