Question

Find the decimal form of 1/5+1/5²+1/5³

Answer 1

Answer:

0.248

Step-by-step explanation:

$\frac{1}{5 } + \frac{1}{ {5}^{2} } + \frac{1}{ {5}^{3} }$

$= \frac{1}{5} + \frac{1}{25}+ \frac{1}{125}$

$= \frac{25 + 5 + 1}{125}$

$= \frac{31}{125}$

$= 0.248$

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Answer 2

Answer:

we need to find the decimal form of  1/5+1/5²+1/5³

Step-by-step explanation: there could be two ways of adding a fraction to decimal.

1) convert the fraction to the decimal format and add.

2) add the fraction and then convert to decimal form by dividing fraction.

first we add the fractions, by taking LCM of the denominator and then adding numerator .

$= \frac{1}{5} + \frac{1}{5^{2} } + \frac{1}{5^{3} }$

$= \frac{1}{5} + \frac{1}{25} + \frac{1}{125}$

$= \frac{25 + 5 + 1}{125}$

$= \frac{31 }{125}$

= $0.248$

answer is 0.248