Question

Which of the following pairs represent the same rational number?

• A. $\frac{-7}{21}$ and $\frac{3}{9}$
• B. $\frac{-16}{20}$ and $\frac{20}{-25}$
• C. $\frac{-2}{-3}$ and $\frac{2}{3}$
• D. $\frac{-1}{3}$ and $\frac{2}{9}$

Answer 1

Answer: (B), (C)

$\frac{-16}{20}$ and $\frac{20}{-25}$
$\frac{-2}{-3}$ and $\frac{2}{3}$

$B.\frac{-16}{20}$ and $\frac{20}{-25}$

$\frac{-16}{20}=\frac{-16/4}{20/4}=-4/5$

$\frac{20}{-25}=\frac{-20/5}{505/5}=-415.$

since both numbers are same.

C. -2/-3 and 2/3.

$\frac{-2}{-3},\frac{+2}{+3}=2/3$

2/3 = 2/3

since both numbers are same.