Question

what is the length of period of 15/7​

Answer 1

Answer:

6

Step-by-step explanation:

See we know that,

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

If you don't know no worries ,

better know it now.

Now,

$\frac{15}{7}$

can be written as,

$2 \frac{1}{7} \: = \: 2 + \frac{1}{7}$

hence it is equal to

$2.142857142857142857......$

hence the period is 6

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Answer 2

Answer:

The length of the period of  $\frac{15}{7}$ = 6

Step-by-step explanation:

Required to find the length of the period of $\frac{15}{7}$.

Recall the concept:

The length of the period of a fraction is the number of repeating decimals in the decimal expansion of the fraction.

Solution:

To find the length of the period of a fraction,

First, we need to convert the fraction into decimals

Hence we have

$\frac{15}{7}$ = 2.142857142857142857....

The repeating decimals are 142857

There are '6' repeating decimals in the decimal representation of the fraction  $\frac{15}{7}$.

Hence, the length of the period of  $\frac{15}{7}$ = 6

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