Question

Convert the following fractions into decimals.

$\frac{12}{5}$

Answer 1

Converting a fraction into a decimal

First, change the given fraction into an equivalent fraction with denominators $10,100,1000,...$etc.

We have $\frac{12}{5}$

Multiplying the numerator and denominator by $2$ to make the denominator as $10$

So, $\frac{12}{5}=\frac{12\times 2}{5\times 2}=\frac{24}{10}$

Now, count the number of zeroes in the denominator and put the decimal in the numerator, starting from the extreme right, and move the decimal point to the left equal to the number of zeroes.

So, $\frac{24}{10}=2.4$

Hence, $\frac{12}{5}=2.4$