Question

If we multiply a fraction by itself and divide the product by its reciprocal the fraction thus obtained is 18*26/27. the original fraction is

Answer 1

Solution :-

Let the required fractional number be x/1

Then, according to the question.

(x/1 × x/1) ÷ 1/x = 18 26/27

⇒ x² × x = 512/27

⇒ x³ = 512/27

⇒ x = ∛512/27

⇒ x = 8/3 

So, the original fraction is 8/3

answer

Answer 2

Answer:

$x=\frac{8}{3}$

Step-by-step explanation:

Let the fraction be $\frac{x}{1}$

Now we are given that we multiply a fraction by itself

$\Rightarrow \frac{x}{1} \times \frac{x}{1}=\frac{x^2}{1}$

Now we are given that this product is divided by the reciprocal of original fraction, so the obtained fraction is $18\frac{26}{27} =\frac{512}{27}$

$\Rightarrow \frac{\frac{x^2}{1}}{\frac{1}{x}}=\frac{512}{27}$

Using calculator

$\Rightarrow x=\frac{8}{3}$

Thus the original fraction is $x=\frac{8}{3}$