Question

(2)Find the decimal form of the sums below:1/5+1/25+1/125​+1/625

Answer 1

Answer:

= 0.25

Step-by-step explanation:

=1/5+1/25+1/125​+1/625

= 0.20 + 0.04 + 0.01+ 0.00

= 0.25

Answer 2

Answer:

Step-by-step explanation:

Concept:

The concept of the sum of the fraction will be used to solve this question.

Given :

A expression is given to get the sum of this.The expression is $\frac{1}{5} +\frac{1}{25} +\frac{1}{125} +\frac{1}{625}$.

To Find :

We need to find the sum of the above expression and the sum should be in decimal value.

Solution:

To get the sum we have to find out the L.C.M of the denominators of the fractions.

The L.C.M is $625$ .

Then we can write the sum as below:

$\frac{1}{5} +\frac{1}{25} +\frac{1}{125} +\frac{1}{625}=\frac{125+25+5+1}{625}$

The sum will be $\frac{125+25+5+1}{625}=\frac{156}{625}$

The question is to get the decimal value of this sum.So the deciman value of $\frac{156}{625}$ is $0.2496$ .

The final answer is $0.2496$ .

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