Question

What is period and periodicity of 20/3

Answer 1

Answer:

The period is 3,6 and periodicity no of digits repeated so the periodicity is 36363636...

Answer 2

The period and periodicity of 20/3 are 6 and 1 respectively.

Given:

A number 20/3.

To Find:

The period and periodicity of 20/3.

Solution:

To find the period and periodicity of 20/3, we will follow the following steps:

As we know,

The period is the recurring decimal digits in fractions of numbers.

Also,

The number of digits repeating in the fraction is known as periodicity.

For example:

$\frac{1}{7} = 142857142857...$

Here, the period is 142857 and the periodicity is 6 because 6 digits in 142857.

Now,

$The \: fraction \: of \: \frac{20}{3} = 6.6666666$

Here,

6 is period and 1 is periodicity.

Henceforth, the period and periodicity of 20/3 are 6 and 1 respectively.

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