Question

What is 50 divided by 18?

Answer 1

Hint: We shall use the long division method to obtain the result of the above question. Here, we need to divide 50 by 18 which means that 50 is the dividend and 18 is the divisor. We need to obtain the quotient and the remainder. We can represent this result in the form of a mixed fraction. We can further continue to divide it in order to obtain the answer in decimal format.

Complete step by step answer:
In order to solve this question, let us use the long division approach. Given, we need to obtain the result for 50 divided by 18. For this, we know that the number 50 is known as the dividend and 18 is known as the divisor. We now represent this in the form of long division.
$\Rightarrow 18\overline{\left){50}\right.}$
We now know that the number which is a multiple of 18 by which is less than 50 is 36 which is nothing but 18 times 2.
$\Rightarrow 18\overset{2}{\overline{\left){\begin{align}
  & \text{ }50 \\
 & \underline{-36} \\
 & +14 \\
\end{align}}\right.}}$
This gives us the quotient as 2 and a remainder as 14. Representing this in the mixed fraction format,
$\Rightarrow 2\dfrac{14}{18}$
The term 14 by 18 can be written in its simpler form by dividing both the numerator and denominator by 2 which is the common factor.
$\Rightarrow 2\dfrac{7}{9}$
We can even continue the division using the method of decimal division. This can be done by adding a decimal point after the quotient and adding a 0 after the remainder. We get 140 as the remainder by doing so, and we know a multiple of 18 less than 140 is 126 which is 18 times 7.
$\Rightarrow 18\overset{2.7}{\overline{\left){\begin{align}
  & \text{ }50 \\
 & \underline{-36\text{ }} \\
 & +140 \\
 & \underline{-126} \\
 & \text{ 14} \\
\end{align}}\right.}}$
We now add another 0 for the remainder and continue division,
$\begin{align}
  & \Rightarrow 18\overset{2.77}{\overline{\left){\begin{align}
  & \text{ }50 \\
 & \underline{-36\text{ }} \\
 & +140 \\
 & \underline{-126\text{ }} \\
 & \text{ 140} \\
 & \text{ }\underline{-126} \\
\end{align}}\right.}} \\
 & \text{ 14} \\
\end{align}$
As we see, the decimal is a recurring one.
Hence, the value of 50 divided by 18 in terms of fractions is $2\dfrac{7}{9}$ and in decimal form is given by $2.\overline{7}.$

Note: It is important to know the basic concepts of long division. It is good to know the concept of recurring decimals too. A recurring decimal is one whose value or digits after the decimal point repeat after certain intervals. We use a bar over the number after the decimal point to represent that the decimal is recurring.