Question

How do you change $0.4$ into a fraction?

Answer 1

Hint: In order to change $0.4$ into a fraction, we will place the decimal number over its place value. Here, the place value is ten. Therefore, we will multiply and divide the given decimal value by $10$ , by which we will get the required answer.

Complete step-by-step answer:
Now, we need to convert $0.4$ into a fraction.
Normally, to convert a decimal to a fraction, place the decimal number over its place value.
Here, we have $0.4$ , the $4$ is in the tenth place, so we place $4$ over $10$ to create the equivalent fraction, i.e., by multiply and dividing by $10$ , we have,
 $=0.4\times {\displaystyle \frac{10}{10}}$
  $={\displaystyle \frac{4}{10}}$
Hence, the value of $0.4$ into a fraction is ${\displaystyle \frac{4}{10}}$.
Furthermore simplifying it we have ${\displaystyle \frac{2}{5}}$.
So, the correct answer is “ ${\displaystyle \frac{2}{5}}$ ”.

Note: A fraction represents a numerical value, which defines the parts of a whole. There are six types of fraction. The proper fractions are those where the numerator is less than the denominator. The improper fraction is a fraction where the numerator happens to be greater than the denominator. A mixed fraction is a combination of the integer part and a proper fraction. Like fractions are those fractions that are alike or same. Unlike fractions are fractions that are dissimilar. Two fractions are equivalent to each other if after simplification either of two fractions is equal to one another.