Question

How do you convert $0.2$ to a fraction?

Answer 1

Hint: Here we are given the decimal number. Decimal number is the number which comprises the point after one digit. Here the decimal number is converted in the form of a numerator upon the denominator.

Complete step-by-step answer:
Convert the decimal point in the form of fraction. To convert decimal into fraction, place the decimal number over its place value. For example, for $0.2$ the two is in the tenths place so that we place $2$ upon $10$ to create the equivalent fraction i.e. ${\displaystyle \frac{2}{10}}$
Fractions are the part of the whole. Generally it represents any number of equal parts and it describes the part from a certain size and Fractions are expressed as the ratio of two numbers arranged in the form of numerator upon the denominator.
Therefore, the given number can be written as –
$0.2={\displaystyle \frac{2}{10}}$
Find the prime factors for the term in the denominator on the right hand side of the equation.
$0.2={\displaystyle \frac{2}{2\times 5}}$
Common Factors from the numerator and the denominator cancel each other. Therefore remove from the numerator and the denominator.
$0.2={\displaystyle \frac{1}{5}}$
This is the required solution.

Note: Always convert the given number in the prime numbers and then find the common factors in the numerator and the denominator and then remove them. Remember to convert decimal into fraction, place the decimal number over its place value. For example, for $0.6$ the six is in the tenths place so that we place $6$ over $10$ to create the equivalent fraction i.e. ${\displaystyle \frac{6}{10}}$ and similarly if there is two digits after decimal point, for $0.06$ the six is in the hundredths place so that we place $6$ over $100$ to create the equivalent fraction i.e. ${\displaystyle \frac{6}{100}}$.