Question

In each case of the following cases, show that the rational numbers are equivalent.
(i)4/9 and 44/99
(ii)7/-3and35/-15
(iii)-3/5and-12/20

Answer 1

(i) 4/9 and 44/99
44/99=4/9(dividing the denominator and numerator by 11)
(ii)-7/3 and -35/15
-35/15=-7/3(dividing the denominator and numerator by 5)
(iii)-3/5 and -12/20
-12/20=-3/5(dividing the denominator and numerator by 4)

Answer 2

Answer:

The equivalence is shown below.

Step-by-step explanation:

Given few pairs of rational number we have to prove the pairs of rational number are equivalent.

Option (i): $\frac{4}{9}$ and $\frac{44}{99}$

$\frac{44}{99}$

Taking 11 common from numerator as well as from denominator

$\frac{4\times 11}{9\times 11}$

$=\frac{4}{9}$

Hence equivalent

Option (ii): $\frac{7}{-3}$ and $\frac{35}{-15}$

$\frac{35}{-15}$

Taking 5 common from numerator as well as from denominator

$\frac{5\times 7}{5\times -3}$

$=\frac{7}{-3}$

Hence equivalent

Option (4): $\frac{-3}{5}$ and $\frac{-12}{20}$

$\frac{-12}{20}$

Taking 4 common from numerator as well as from denominator

$\frac{4\times -3}{4\times 5}$

$=\frac{-3}{5}$

Hence equivalent