Question

ravi was asked to multiply a rational number by 2/3. By mistake he multiply the rational number by 2/9. his answer was -16/5 more than the correct answer. find the rational number.

Answer 1

Answer:

4

Step-by-step explanation:

Let given rational number be x.

x (2/3) = 2x/3

Given, x (2/9) = (2x/3) + (-16/5)

⇒ (2x/9) - (2x/3) = -16/5

⇒ -4x/9 = -16/5

⇒ 4x/5 = 16/5

⇒ 4x = 16

⇒ x = 4

If you found this answer helpful, don't forget to mark it as BRAINLIEST!!

Cheers!!

Answer 2

$\textbf{ANSWER:}$

${\textbf{\green{let \: the \: fraction \: be : x}}}$

now,

ravi was asked to multiply the no. with $\frac{2}{3}$

but he mistakenly mutiply it by $\frac{2}{9}$

acc. to this,

$\rightarrow \frac{2x}{9} =\frac{2x}{3}+(\frac{-16}{5})$

$\rightarrow \frac{-4x}{5} =\frac{-16}{5}$

$\rightarrow {4x=16}$

$\rightarrow {x= 4}$

${\textbf{\red{the \: rational \: will\: be : x=4}}}$