Question

The product of two rational numbers is
$\frac{571}{63}$. If one of the numbers is $\frac{1}{7}$ , then what is $9$ times the other number?

• A. $\frac{571}{9}$
• B. $571\times 7$
• C. $571$
• D. $\frac{571}{7}$

Answer 1

The correct option is C $571$

Let the other number be $p.$
Then,
$p\times \frac{1}{7}=\frac{571}{63}$

$p=\frac{571}{63}÷\frac{1}{7}$

$p=\frac{571}{63}\times 7$

$p=\frac{571}{9}\times 1$

$p=\frac{571}{9}$

$9$ times of $p=9\times \frac{571}{9}=571$

$9$ times the other number is $571.$