Question

If the product of two rational numbers is −9/16 and one of them is −5/15, find the other number.

Answer 1

➤ Answer :-

$\tt \dfrac{( - 5)}{15} \times ( \sf x) = \tt \dfrac{( - 9)}{16}$

To find 'x' in the following sum, we have to divide $\tt\dfrac{(-9)}{16}$ and $\tt\dfrac{(-15)}{15}$

$\tt \dfrac{( - 9)}{16} \div \dfrac{( - 5)}{15}$

To divide two fractions, we should take reciprocal of $\tt\dfrac{(-5)}{15}$ and multiply both....

$\tt \dfrac{( - 9)}{16} \times \dfrac{15}{( - 5)}$

$\tt \dfrac{( - 9) \times 15}{16 \times ( - 5)}$

$\tt \cancel \dfrac{( - 135)}{( - 80)} = \dfrac{27}{16} = 1 \dfrac{11}{16}$

$\Huge\therefore$The other number is $\tt 1 \dfrac{11}{16}$