Question

What is $\dfrac{6}{10}$ in decimals?

Answer 1

Hint: Whenever we have a fraction of the form $\dfrac{a}{b}$ , we can convert this fraction into decimals simply by dividing a by b until the remainder is 0. So, to convert $\dfrac{6}{10}$ in decimals, we should divide 6 by 10 until the remainder is 0, and then the quotient will be our required decimal.

Complete step by step solution:
To convert any fraction of the form $\dfrac{a}{b}$ into decimal, we must take a as dividend and b as divisor, as should continue the division process until the remainder is 0. The quotient, thus obtained, will be the required decimal.
Hence, to convert $\dfrac{6}{10}$ in decimals, we have 6 as dividend and 10 as divisor.
The division process is shown below,
$10\overset{0}{\overline{\left){\begin{align}
  & 6 \\
 & \dfrac{0}{6} \\
\end{align}}\right.}}$
The remainder is 6, which is not 0. Hence, we proceed with this division into fraction by writing 6 in the dividend as 6.0 which will lead to,
$10\overset{0.6}{\overline{\left){\begin{align}
  & 6.0 \\
 & 0 \\
 & \overline{\begin{align}
  & 60 \\
 & 60 \\
 & \overline{00} \\
\end{align}} \\
\end{align}}\right.}}$
Now, we can see that the remainder is 0.
So, now we will stop the division process and the quotient is the decimal equivalent of $\dfrac{6}{10}$ .
Here the quotient is 0.6
Hence, the decimal equivalent of $\dfrac{6}{10}$ is 0.6

Note: Whenever we have a fraction such that the denominator is 10, 100, 1000, ….. and we need to convert the fraction into decimal form, we just need to shift the decimal point in the numerator towards left as many places as the number of zeroes in the denominator. For example, here in this problem, we need to convert $\dfrac{6}{10}$ into decimal. The denominator has one zero. Thus, we need to shift the decimal point in the numerator by one towards the left side. We must remember that 6 is the same as 6.0, and thus, our required decimal will be 0.6.