Question

Find three rational numbers equivalent to each of the following rational numbers.
(i) −2/5
(ii) 3/7

Answer 1

Answer:

-2/5 = -4/10, -6/15, -8/20.

2/5 = -4/10, -6/15, -8/20. 3/7 = 6/14, 9/21, 12/28.

Answer 2

Given :  (i)−2/5

(ii)3/7

To Find :   three rational numbers equivalent to each

Solution:

Rational numbers are real numbers which can be written in the form p/q where p and q are integers and q≠0

create equivalent fractions :

By dividing or multiplying the numerator and denominator of a given fraction by the same number except zero

a/ b  = ak/bk      k ≠ 0

a/b  = (a/k) / (b/k)   k ≠ 0

 (i)−2/5

= -2 * 2/ ( 5 * 2)  = -4/10

= -2 * 3/(5 * 3)  = -6/15

= -2 * 10/(5 * 10)  = -20/50

(ii) 3/7

3 * 2/ (7 * 2)  = 6/14

3 * 10 / (7 * 10) = 30/70

3 * 100/(7 * 100) = 300/700

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