Question

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

Answer 1

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

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

`(1)/(10m) = (1100 + 11m)/(12100m)`

`1*12100m = 10m(1100 + 11m)`

`12100m = 11000m + 110 m^(2)`

`12100m-11000m = 110 m^(2)`

`1100m = 110 m^(2)`
m=10

Answer 2

Hey there!

Subtract
`(1)/(11)m` on each of your sides

Like:
`(1)/(10) m - (1)/(11)m = (1)/(11)m + (1)/(1100) - (1)/(11)x \\ \\ (1)/(110) x = (1)/(1100)`

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

Like:
`110 ( (1)/(110) )x = 110( (1)/(1100))`

We get:
`(1)/(10)`


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

Good luck on your assignment and enjoy your day!

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`LoveYourselfFirst:)`