Find the sum of 0-3-0-5-0-33-0-55-0-333-0-555- to 15 terms-

The correct option is B 9Each dfraction can be simplified to 35 by dividing by their highest common factor. #160;So, expression is simplified to 3 ...

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Standard XII

Mathematics

Sum of n Terms

Find the sum ...

Question

Find the sum of $\frac{0.3}{0.5} + \frac{0.33}{0.55} + \frac{0.333}{0.555} + \dots \dots$ to 15 terms.

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Solution

The correct option is B 9
Each dfraction can be simplified to $\frac{3}{5}$ by dividing by their highest common factor.

So, expression is simplified to $\frac{3}{5} + \frac{3}{5} + \frac{3}{5} + - - - 15$ terms.
$= \frac{3}{5} \times 15 = 9$

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Find the sum of 0.30.5+0.330.55+0.3330.555+⋯⋯ to 15 terms.

The correct option is B 9Each dfraction can be simplified to 35 by dividing by their highest common factor. So, expression is simplified to 35+35+35+−−−15 terms. =35×15=9

Find the sum of $\frac{0.3}{0.5} + \frac{0.33}{0.55} + \frac{0.333}{0.555} + \dots \dots$ to 15 terms.

The correct option is B 9
Each dfraction can be simplified to $\frac{3}{5}$ by dividing by their highest common factor.

So, expression is simplified to $\frac{3}{5} + \frac{3}{5} + \frac{3}{5} + - - - 15$ terms.
$= \frac{3}{5} \times 15 = 9$