Question

How do you change \[0.8\] into a fraction?

Answer 1

Hint:
To convert the decimal into a fraction we will place the decimal over the power of ten. And the fraction we will get can be reduced to the simplest form. And in this way, we can get the fraction from the number which is in decimal.

Complete Step by Step Solution:
we have the decimal number given as \[0.8\] and we have to convert this into the fraction. For this, we will first remove the decimal from the number.
And as we know when we remove the decimal from the number then in the denominator we have to write the zeros in terms of tens.
So in this case we will get $10$ in the denominator after removing the decimal.
Therefore we can write it as,
\[ \Rightarrow 0.8 = \dfrac{8}{{10}}\]
Now making the numerator and the denominator into the simplest form, the fraction will be divisible by
$2$ ,
 So we get the fraction as
\[ \Rightarrow 0.8 = \dfrac{4}{5}\]

Therefore, on converting \[0.8\] into a fraction we will get $\dfrac{4}{5}$.

Note:
Here, the answer we had got is in proper fraction. A proper fraction is those fractions having the numerator smaller and the denominator of the function will be greater than the numerator. Since this is the proper fraction so we cannot make it the mixed fraction. Also while solving such types of questions only thing we need to focus on is the decimal. That is after how many digits that decimal is then solved accordingly. So, these are important terms we should be aware of while solving the questions on fractions.