We know how to write equivalent fractions when a fraction is given.

Equivalent rational numbers

We know how to write equivalent fractions when a fraction is given. Since a rational number can be represented by a fraction, we can think of equivalent rational numbers, duly obtained through equivalent fractions.

Suppose a rational number is in fractional form. Multiply its numerator and denominator by the same non-zero integer to obtain a rational number which is equivalent to it.

For example,

**1. 7/3 = ?/9 = 49/?
= −21/?**

7/3 = [7 × 3] / [3 × 3] = 21 / 9

7/3 = [7 × 7] = [3 × 7] = 49 / 21

7 / 3 = [7 × (−3)] / [3 × (−3)] = −21 / −9

∴ 7/3 = 21/9 = 49/21 = −21/−9

**2. −2 / 5 = ? / 10 = 6 / ? = −8 / ?**

−2 / 5 = [−2 × 2] / [5 ×
2] = −4 / 10

−2 / 5 = [−2 × −3] / [ 5
× −3] = 6 / −15

−2 / 5** = [**−2** **× 4] / [5 ×
4] = −8 / 20

∴ −2 / 5 = [−4 / 10] = 6 /
−15 = −8 / 20

Tags : Numbers | Chapter 1 | 8th Maths , 8th Maths : Chapter 1 : Numbers

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8th Maths : Chapter 1 : Numbers : Equivalent rational numbers | Numbers | Chapter 1 | 8th Maths

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