Simplify: $3\left(\frac{-3}{2}\right) \ \div \ 6\left(\frac{-3}{2}\right)$

Given: $3\left(\frac{-3}{2}\right) \ \div \ 6\left(\frac{-3}{2}\right)$

To find: Here we have to find the value of the given expression $3\left(\frac{-3}{2}\right) \ \div \ 6\left(\frac{-3}{2}\right)$.

Solution:

$3\left(\frac{-3}{2}\right) \ \div \ 6\left(\frac{-3}{2}\right)$

$=\ \left(\frac{3\ \times \ -3}{2}\right) \ \div \ \left(\frac{6\ \times \ -3}{2}\right)$

$=\ \left(\frac{-9}{2}\right) \ \div \ \left(\frac{-18}{2}\right)$

$=\ \frac{-9}{2} \ \times \ \frac{-2}{18}$

$=\ \frac{-1}{1} \ \times \ \frac{-1}{2}$

$=\ \mathbf{\frac{1}{2}}$

So, value of the given expression is $\frac{1}{2}$.

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Updated on: 10-Oct-2022

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