Question

What is $\dfrac{3}{5}$ as a decimal?

Answer 1

Hint: In the above question, we have been given a fractional number $\dfrac{3}{5}$ which is to be converted to the decimal number. For this we have to divide the number in the numerator, which is equal to three, by the number in the denominator, which is equal to five. After the division we will obtain the required decimal form of the given fractional number.

Complete step-by-step solution:
Let us consider the fractional number given in the above question in the below equation as
$\Rightarrow n=\dfrac{3}{5}$
According to the question, we have to convert the given fractional number to a decimal number. We know that a fraction represents the division of the number written above the fraction symbol, called the numerator, y the number written below, which is called the denominator. Therefore, in order to convert the given fractional number into the decimal number, we have to divide the numerator, which is equal to three, by the denominator, which is equal to five. The division is shown below.
$5\overset{0.6}{\overline{\left){\begin{align}
  & 3 \\
 & \underline{0} \\
 & 30 \\
 & \underline{30} \\
 & \underline{0} \\
\end{align}}\right.}}$
From the above division, we obtained the quotient equal to $0.6$ and the remainder is equal to $0$. Therefore, the given number in the decimal form can be written as
$\Rightarrow n=0.6$
Hence, we have written the fractional number $\dfrac{3}{5}$ in the form of a decimal number as $0.6$.

Note: We know that multiplying or dividing a number by hundred is very simple since it involves just the shifting of the decimal point. The conversion of the given fraction can be made simple by making the denominator of the fraction equal to zero. For this we have to multiply the numerator and the denominator by $20$ so that the given fraction will become $\dfrac{60}{100}$ and by just shifting the decimal point of the number $60.0$ two units to the left, we will obtain the decimal form of the given fraction.