Question

What is 0.4 as a fraction in fifths?

Answer 1

Hint: We are given a decimal and we have to find its fraction in fifths. That means we simply need to convert decimal into fraction. For converting a decimal into fraction, multiply and divide the decimal with 10, if there is one digit after decimal point, 100 if there are two digits after decimal points and so on. Here, we have one digit after the decimal point, so we will be multiplying and dividing the decimal with 10 to convert it in fraction form.

Complete step by step solution:
In this question, we are given a decimal number and we need to convert it in fraction in fifths.
That simply means we have to express 0.4 as a fractional number.
So, we have to convert 0.4 into fraction.
To convert a decimal into fraction, we need to multiply and divide the given fraction with 10, if there is one digit after decimal, 100 if there are two digits after decimal point, 1000 if there are three digits after decimal point and so on.
So, in our question we have 0.4. There is only one digit after the decimal point. So, we need to multiply and divide 0.4 with 10. Therefore,
$\Rightarrow 0.4=0.4\times {\displaystyle \frac{10}{10}}={\displaystyle \frac{4}{10}}$
Now, we can also obtain the above fraction in reduced form. For reduced form, write the prime factors of both numerator and denominator.
$\Rightarrow 0.4={\displaystyle \frac{4}{10}}={\displaystyle \frac{2\times 2}{2\times 5}}$
Here, 2 gets cancelled in both numerator and denominator.
Hence,
$\Rightarrow 0.4={\displaystyle \frac{2}{5}}$
Hence, the fraction form in fifths of 0.4 is ${\displaystyle \frac{2}{5}}$.

Note:
The fractions in which numerator is less than the denominator are known as proper fractions.
Example: ${\displaystyle \frac{2}{5}},{\displaystyle \frac{1}{9}}$
The fractions in which numerator is greater than the denominator are known as improper fractions.
Example: $$${\displaystyle \frac{5}{2}},{\displaystyle \frac{11}{3}}$