Question

Evaluate:

\(\left (\dfrac{5}{-27} \right )\times \left ( \dfrac{-9}{10} \right )\)

Answer 1

Step:Multiplying the given rational numbers

Given:\(\left (\dfrac{5}{-27} \right )\times \left ( \dfrac{-9}{10} \right )\)

\(\because product ~of ~two~ rational ~numbers=\frac{product ~of ~the ~numerators}{product~ of~ the ~denominators}\)

\(\therefore \left ( \dfrac{5}{-27} \right )\times \left ( \dfrac{-9}{10} \right )=\dfrac{5\times (-9)}{-27\times 20}\)

\(=\dfrac{5\times 9}{27\times 20}\)

\(=\dfrac{5\times 9}{9\times 3\times 5\times 4}\)

\(=\dfrac{1}{3\times 4}\)

\(=\dfrac{1}{12}\)

Hence, the required product is \(\dfrac{1}{12}\).