Draw number lines and locate the points on them:(a) $\frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4}$(b) $\frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{7}{8}$(c) $\frac{2}{5}, \frac{3}{5}, \frac{8}{5}, \frac{4}{5}$

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To do :

We have to locate the given points on the number line.

Solution :

(a) In order to represent a fraction on the number line, we need to divide the line segment between two whole numbers into 'n' equal parts where n represents the denominator of the fraction.

Therefore,

If we have to represent the fractions $\frac{1}{2}, \frac{1}{2}(=\frac{2}{4}), \frac{3}{4}$ and $\frac{4}{4}(=1)$ on the number line, we need to divide the line segment between 0 and 1 into four equal parts.

In the above figure,

Point A represents $\frac{1}{4}$, point B represents $\frac{1}{2}$, point C represents $\frac{3}{4}$ and point D represents $\frac{4}{4}$.

(b) In order to represent a fraction on the number line, we need to divide the line segment between two whole numbers into 'n' equal parts where n represents the denominator of the fraction.

Therefore,

If we have to represent the fractions $\frac{1}{8}, \frac{2}{8}, \frac{3}{8}$ and $\frac{7}{8}$ on the number line, we need to divide the line segment between 0 and 1 into eight equal parts.

In the above figure,

Point A represents $\frac{1}{8}$, point B represents $\frac{2}{8}$, point C represents $\frac{3}{8}$ and point D represents $\frac{7}{8}$.

(c) In order to represent a fraction on the number line, we need to divide the line segment between two whole numbers into 'n' equal parts where n represents the denominator of the fraction.

Therefore,

If we have to represent the fractions $\frac{2}{5}, \frac{3}{5}, \frac{8}{5}$ and $\frac{4}{5}$ on the number line, we need to divide the line segment between 0 and 1  and also between 1 and 2 into five equal parts each.

In the above figure,

Point A represents $\frac{2}{5}$, point B represents $\frac{3}{5}$, point C represents $1\frac{3}{5}=\frac{8}{5}$ and point D represents $\frac{4}{5}$.

Updated on 10-Oct-2022 13:32:51