Question

How do you write the fraction on the number line: $\dfrac{7}{8} $?

Answer 1

Hint: We first find the boundary range of integers where the fraction $\dfrac{7}{8} $ lies. Then we magnify the portion and then we divide the space with the number of the denominator of the fraction $\dfrac{7}{8} $. The number of dividers will be according to the value of the numerator.

Complete step by step solution:
We first draw the number line and try to find the integer boundary of range 1 for the fraction $\dfrac{7}{8} $.

We know that $0<\dfrac{7}{8}<1 $. The fraction will lie in the space of those two integers.
We now enlarge the space in between 0 and 1 to place the fraction $\dfrac{7}{8} $.
We can see the space in between 0 and 1 has been divided in 8 parts and we are taking or indicating the ${{7}^{th}} $ one.
We divide the space in 8 parts by taking the help of 7 dividers. Each part of the division is of the value $\dfrac{1}{8} $. We start counting from the left to the right for the positive value of the $\dfrac{7}{8} $. The seventh one of the dividers represent the fraction part of $\dfrac{7}{8} $.

Note: We have to remember that the number of parts of division for the range will be equal to the value of denominator but the number of dividers is always one less than the value of the denominator.