Question

the product of two numbers is 5/9.if one of the number is -35/24,find the other

Answer 1

Let the other number be x

According to question,

$x \times \frac{ - 35}{24} = \frac{5}{9}$

Transposing

$x = \frac{5}{9} \times \frac{ - 24}{35}$

5×7 =35 and 3×3=9 and 3×-8=24

$x = \frac{1}{3} \times \frac{ - 8}{7}$

7×3=21

$x = \frac{ - 8}{21}$

Answer 2

Given,
The product = 5/9
The other number is = -35/24
The first number = (to be calculated)

Let the first number be x.

So,

$x \times - \frac{35}{24} = \frac{5}{9} \\ \\ - \frac{35x}{24} = \frac{5}{9} \\ \\ \bf \: On \: cross \: multiplying \\ \\ 9( - 35x) = 5(24) \\ \\ - 315x = 120 \\ \\ - 21x = 8 \\ \\ x = - \frac{8}{21}$

Let's check whether our calculation is right or not,

$- \frac{8}{21} \times - \frac{35}{24} = \frac{5}{9} \\ \\ \frac{1}{3} \times \frac{5}{3} = \frac{5}{9} \\ \\ \frac{5}{9} = \frac{5}{9}$

If any doubt, please ask ;)