Question

How do you write `2/5` as decimal?

Answer 1

We can write this as a decimal by making the denominator `10`.
It is `0.4`.

Explanation:

The easiest way to write this as a decimal is to multiply it until the denominator is `10`. As decimals are written in a tens system (with a tenths, hundredths, thousandths, etc. place), fractions with a denominator of `10` can easily be written as decimals.

The way to make the denominator ten is to multiply both the top and bottom by `10/"the bottom number"`. In this case:

`(2/5)*((10/5)/(10/5))`

`(2/5)*(2/2)`

To simplify, we can multiply the two numerators and the two denominators.

`(2*2)/(5*2)`

When we simplify, we get:

`4/10`

This, in words, is four tenths. Therefore, we put `4` in the tenths place of the decimal.

In decimal form, this is `0.4`.

Answer 2

`2/5 = 4/10 = 0.4`

Explanation:

Decimals are way of writing fractions which have a power of `10` in the denominator. They will be `10, 100, 1000, 10,000` ,and so on.

In `2/5` make the denominator `10`

`2/5 xxcolor(blue)(2/2) = (2xx2)/(5xx2) =4/10 = 0.4`

Note that `color(blue)(2/2) =1` and multiplying any number by `1` does not change its value.

However, some fractions have denominators which cannot be made into a power of `10`.

In that case, divide the numerator by the denominator to get a decimal.

`2/5 = 2 div 5 = 0.4`

Answer 3

`0.4`

Explanation:

Using long division:-

`color(white)(...)color(white)(.)ul(0.4)`
`5|2`
`color(white)(....)ul2`

answer=0.4