Question

How do you convert .198 to a fraction?

Answer 1

Hint: To convert a decimal into a fraction of the lowest term, we first assume that every decimal is a fraction with the numerator as decimal itself and the denominator as 1. Further, we multiply the numerator and denominator with a specific power of 10 to just remove the decimal and convert it into an integer.

Complete step-by-step solution:
Convert the decimal point into the form of fractions. To convert a decimal into a fraction, place the decimal number over its place value. For example, for 0.2 the two are in the tenths place so that we place 2 upon 10 to create the equivalent fraction i.e., $\dfrac{2}{{10}}$.
Fractions are 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,
$ \Rightarrow 0.198 = \dfrac{{198}}{{1000}}$
So, we need to see if the numerator which is 198, and the denominator that is 1000 have the common factor which means we need to cancel them by the number that can divide both the numerator and denominator completely.
So, we know that 198 and 1000 have the common factor that is 2 as both are divisible by this number 2 and we can cancel them with this number.
$ \Rightarrow 0.198 = \dfrac{{99}}{{500}}$

Hence, the required solution is $\dfrac{{99}}{{500}}$.

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 a fraction, place the decimal number over its place value.