Question

What is $\dfrac{2}{3}$ divided by 5?

Answer 1

Hint: To obtain the answer we have to divide a fraction by a whole number. Firstly we will write our expression according to the information given. Then we will change the divide sign to multiply sign by reciprocating the whole number only. Finally we will simplify the numerator and denominator and get the desired answer.

Complete step by step answer:
It is given that we have to divide $\dfrac{2}{3}$ by 5.
So we can write the expression as below:
$\dfrac{2}{5}\div 5$
Next step will be to remove the divide sign for that we will write the reciprocal of 5 as below:
$\dfrac{2}{5}\times \dfrac{1}{5}$
Now as we can see that numerator and denominator cannot be solved further so we will multiply the term and get the answer as:
$\begin{align}
  & \Rightarrow \dfrac{2}{5\times 5} \\
 & \Rightarrow \dfrac{2}{25} \\
\end{align}$
$\therefore \dfrac{2}{5}\div 5=\dfrac{2}{25}$

Hence $\dfrac{2}{3}$ divided by 5 is $\dfrac{2}{25}$

Note: Fractions tell us equal parts of a whole or a collection. When a whole is divided into equal parts than each part is a fraction of the whole. The two parts of a fraction are numerator and denominator the value above the line is known as numerator and the value below the line is known as denominator. Fractions are represented on a Number line. There are many types of fractions such as Unit fractions, Proper fractions, Improper fractions and Mixed fractions etc. Whole numbers are natural numbers with 0 included; they are always positive and are represented in the Number line. They don’t include fraction numbers or decimal numbers and are represented by the symbol $W$. One of the main properties of whole numbers is that when two whole numbers are added or multiplied they give a whole number itself.