Question

By what number should we multiply -¼ so that the product my be -23/9.

Answer 1

Answer:

Let the number be x .

According to the question:

$x \times \frac{ - 1}{4} = \frac{ - 23}{9} \\ \\ \: \implies x = \frac{ - 23}{9} \div \frac{ - 1}{4} \\ \\ \implies \: x = \frac{ - 23}{9} \times \frac{ - 4}{1}$

$\implies \: x = \frac{ - 23 \times ( - 4)}{9} \\ \\ \implies \: x = \frac{92}{9}$

Hence, the number which which should be multiplied by -¼ so that the product may be -23/9 is 92/9