Question

How do you write $1.24$ as a fraction?

Answer 1

Hint: Fractions are the part of the whole. Generally, it represents any number of equal parts and it describes the part from a certain size. Here we will convert the decimal into fraction by considering the number of digits after the decimal point and will simplify the fraction to get the equivalent fraction.

Complete step-by-step solution:
Take the given expression: $1.24$
To convert decimal into fraction, place the decimal number over its place value. There are two digits after decimal point, for $1.24$ since there are two digits and it is in the hundredths place so that we have to place $1.24$ over $100$ to create the equivalent fraction i.e. $\dfrac{{124}}{{100}}$.
Simplify the above equation –
$ = \dfrac{{124}}{{100}}$
Find the factors of the above expression –
$ = \left( {\dfrac{{31 \times 4}}{{25 \times 4}}} \right)$
Common factors from the numerator and the denominator cancel each other. Therefore remove from the numerator and the denominator.
$ = \left( {\dfrac{{31}}{{25}}} \right)$
Hence, this is the required solution.

Thus the required solution is $\dfrac{{31}}{{25}}$

Note: 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. $\dfrac{6}{{10}}$ 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. $\dfrac{6}{{100}}$. Be good in multiples and division and since it is most important to find the factors and to remove common factors in the fraction to get the equivalent simplified fraction.