Question

Check which of the following is equivalent :
$\begin{array}{cc}& a)-\frac{9}{11},\frac{81}{-99}\\ & b)\frac{-12}{15},\frac{36}{-60}\\ & c)\frac{-5}{11},\frac{-15}{-33}\end{array}$

Answer 1

a) $-\frac{9}{11},\frac{81}{-99}$

$\Rightarrow -\frac{9}{11},-\frac{9\times 9}{11\times 9}$

So both are equivalent.

b) $\frac{-12}{15},\frac{36}{-60}$

$\Rightarrow -\frac{12}{15},-\frac{12\times 3}{15\times 4}$

So both are not equivalent.

c) $\frac{-5}{11},\frac{-15}{-33}$

$\Rightarrow -\frac{-5}{11},\frac{5\times 3}{11\times 3}$

So both are not equivalent.