Question

How do you write $\dfrac{9}{12}$ as a sum of unit fractions?

Answer 1

Hint: To write this as a sum of unit fraction, we need to reduce the given number by cancelling the given fraction by $3$ and write it as the unit fraction and look for the fraction that should be equal to the unit fraction of $\dfrac{9}{12}$.

Complete step by step answer:
Let us consider the given question, $\dfrac{9}{12}$
Cancel it with the multiple of $3$ we get, $\dfrac{3}{4}$
This above fraction is nothing but the $3$ in total $4$ parts, it can also be written as the sum of the half of the total and quarter of the total.
$\dfrac{3}{4} = \dfrac{1}{2} + \dfrac{1}{4}$
This is our required solution.

Additional information: If we were asked to find the sum of unit fraction for $\dfrac{3}{3}$, which will be equal to $1$, then we can write it as $\dfrac{1}{2} + \dfrac{1}{2} = 1$. Here particularly in fraction “$1$” is considered a total part. The sum of two half of the total part will be the sum of the unit fraction of the number $\dfrac{3}{3}$.

Note: The ratio concept is one of the important topics in quantitative aptitude, learning the concept of ratio will be very useful in cracking many exams. The main concept here is, we consider $100\% $ as $1$, $50\% $ as $\dfrac{{50}}{{100}} = \dfrac{1}{2}$ and so on. It will be very useful for us to find the unknown value easily when we were given the ratio of age of any two persons or the ratio of speed of given train or ratio of quantity of given any two liquids etc., Whatever may be the problem we are able to predict the answer with no trouble when we are given the ratio of any one of the unknown speed, distance, quantity etc.