Question

P represents $\dfrac{3}{5}$ on the number line given. The rational number represented by Q is ……….

A. $\dfrac{4}{5}$
B. $1\dfrac{4}{5}$
C. $\dfrac{4}{3}$
D. $1\dfrac{4}{6}$

Answer 1

Hint: Here in this question we have to represent the fraction on a number line. Representing the fraction on the number line shows the intervals between two integers which will help us to increase the basic concept of the formation of fractional numbers.

Complete step-by-step solution:
We have given in the question P = $\dfrac{3}{5}$
Which means 0 to 1 part is a divide in 5 equal par and the point is mentioned on number 3 on that part
Now we have to represent the point Q
First, we have to check where to point Q lies
Q lies in between 1 to 2
Means the denominator is less than the nominator
As the number line shows there is a total 5 line. 1 to 2 is divided into 5 equal parts
So, the denominator of the point Q fraction is 5
Now we have to find the numerator of the point Q
The number line represents all the positive integers so, move and count from point 0 to towards point 2
As we count, we find that Q is mentioned on point 9, hence the numerator of the fraction is 9
Hence, the rational number represents by Q is $\dfrac{9}{5} = 1\dfrac{4}{5}$
Therefore, Option (B) is the correct option.

Note: For solving the question related to representing fraction on the number line students must know the type of fraction and basic of the number line. The numbers on the number line increase as we move from left to right and decrease moving from right to left.