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satela [25.4K]
4 years ago
8

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

Mathematics
2 answers:
PIT_PIT [208]4 years ago
8 0
(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
MariettaO [177]4 years ago
7 0

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}

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