Question

Represent the following fractions:$\frac{1}{4},\frac{7}{4},-\frac{3}{4}$ and $-\frac{9}{4}$ on a number line.

Answer 1

Since, the denominator of each given fraction is 4; divide the space between every pairs of two consecutive integers (on the number line) in 4 equal parts.
Each part so obtained will represent the fraction $\frac{1}{4}$.

To mark $\frac{1}{4};$ move one part on the right-side of zero.

To mark $\frac{7}{4};$ move seven parts on the right-side of zero.

To mark $-\frac{3}{4};$ move three parts on the left-side of zero.

To mark $-\frac{9}{4};$ move nine parts on the left-side of zero.

The following diagram shows markings of fractions $\frac{1}{4},\frac{7}{4},-\frac{3}{4}$ and $-\frac{9}{4}$ on a number line.