Equal fractions are called equivalent fractions. To get a fraction equivalent to a given fraction we multiply or divide the numerator and denominator of the given fraction by the same non-zero number.

Ex-

Write next $3$ fractions equivalent to $\dfrac{4}{7}$

Ans-

$\dfrac{4\times 2}{7\times 2}=\dfrac{4\times 3}{7\times 3}=\dfrac{4\times 4}{7\times 4}$

$\therefore\ \dfrac{4}{7}=\dfrac{8}{14}=\dfrac{12}{21}=\dfrac{16}{28}$

Fractions represented on a number line

Represent $\dfrac{3}{7}$ on the number line.

Draw a line $XY$ .

Set off a line segment $OA=1\text{unit}\ XY$ .

Divide $OA$ into $7$ equal parts.

Each part represents $\dfrac{1}{7}$ , $OB$ represents $\dfrac{3}{7}$ .

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