Question

Please give me the answer by steps
The product of two rational numbers is 8/15.
If one of them is -20/55, find the other.

Answer 1

Step-by-step explanation:

Let the missing rational number be a

so the equation will be like:-

$a \: \times \: \frac{8}{15} = \: \frac{ - 20}{55}$

Now transpose 8/15 to RHS

a= -20/55 divided by 8/15

a= -20/55 × 15/8

a= -300/440

a= -15/22

I think this might be the answer, I didn't use copy and pen to solve this one so it can be wrong so you can try doing it by transposing 8/15 to RHS then solving the equation

Have a Good Day/Night!

Answer 2

GIVEN :-

The product of two rational numbers is $\sf{ \frac{8}{15}}$. If one of them is $\sf{ \frac{ - 20}{55} }$, find the other.

Let the other number be x.

According to the question,

$\sf{x \times \frac{ - 20}{55} = \frac{8}{15}}$

Transposing

$\sf{\frac{ - 20}{55}}$

to RHS.

$\sf{x = \frac{8}{15} \times \frac{55}{ - 20}}$

$\sf{x = \frac{2}{3} \times \frac{11}{ - 5}}$

$\sf \red{x = \frac{22}{ - 15}}$

Verification :-

$\sf{\frac{22}{ - 15} \times \frac{ - 20}{55} = \frac{8}{15}}$

$\sf{ \frac{2}{15} \times \frac{4}{11} = \frac{8}{15}}$

$\sf{ \frac{8}{15} = \frac{8}{15}}$

LHS = RHS

$\therefore$ The value of $\sf{x = \frac{22}{ - 15}}$.