Question

if point b is halfway between 0 and 1 on a number line and point a is halfway between 0 and point b, what fraction of 1 does point a represent? a \\(\frac{1}{2}\\) b \\(\frac{1}{4}\\) c \\(\frac{2}{3}\\) d \\(\frac{3}{4}\\)

Explanation:

Step1: Find position of B

Point B is halfway between 0 and 1. The midpoint formula between two numbers \(a\) and \(b\) is \(\frac{a + b}{2}\). So for \(a = 0\) and \(b = 1\), \(B=\frac{0 + 1}{2}=\frac{1}{2}\).

Step2: Find position of A

Point A is halfway between 0 and B (\(B=\frac{1}{2}\)). Using the midpoint formula again, with \(a = 0\) and \(b=\frac{1}{2}\), \(A=\frac{0+\frac{1}{2}}{2}=\frac{\frac{1}{2}}{2}=\frac{1}{4}\).

Answer:

B. \(\frac{1}{4}\)