Question

What is the length of period of 15/7

Answer 1

Answer:

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Step-by-step explanation:

See we know that,

\frac{1}{7} = \: 0.142857142857......71=0.142857142857......

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Now,

\frac{15}{7}715

can be written as,

2 \frac{1}{7} \: = \: 2 + \frac{1}{7}271=2+71

hence it is equal to

2.142857142857142857......2.142857142857142857......

hence the period is 6

Answer 2

Answer:

Required length of period is 6.

Step-by-step explanation:

Given fraction is $\frac{15}{7}$

Here we want to calculate period of this fraction.

For this calculation ,first we are finding the decimal form of the fraction$\frac{15}{7} = 2.14285714$

If we notice it carefully then we can see 1,4,2,8,5,7 are numbers after decimal sign.

We are neglecting last 1 and 4 because after them digits will start repeat again

So length of period of this fraction is 6.