Question

The number of digits in the fractional part of the decimal fork of 7/40 is

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

The number of digits in the fractional part of the decimal fork of $\frac{7}{40}$ is 3.

Step-by-step explanation:

To find : The number of digits in the fractional part of the decimal fork of  $\frac{7}{40}$ ?

Solution :

First we factories the denominator 40,

Writing the number as,

$\frac{7}{40}=\frac{7}{2\times 2\times 2\times 5}$

$\frac{7}{40}=\frac{7}{2^3\times 5}$

Multiply and divide by $5^2$,

$\frac{7}{40}=\frac{7\times 5^2}{2^3\times 5^3}$

$\frac{7}{40}=\frac{7\times 25}{(2\times 5)^3}$

$\frac{7}{40}=\frac{175}{10^3}$

It terminates after 3 decimal place.

$\frac{7}{40}=0.175$

Therefore, the number of digits in the fractional part of the decimal fork of $\frac{7}{40}$ is 3.

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