Question

2 by 3 is what percentage of 4 by 9​

Answer 1

The required percentage is "150 percent(%)".

Step-by-step explanation:

Let $\dfrac{2}{3}$ be the x percent of $\dfrac{4}{9}$.

To find, the required percentage(%) = ?

∴ $\dfrac{\dfrac{2}{3}}{x} \times 100=\dfrac{4}{9}$

⇒ $\dfrac{2}{3x} \times 100=\dfrac{4}{9}$

⇒ $\dfrac{2}{x} \times 25=\dfrac{1}{3}$

⇒ $\dfrac{50}{x} =\dfrac{1}{3}$

⇒ x = 50 × 3 = 150

∴ $\dfrac{2}{3}$ is the 150 percent(%) of $\dfrac{4}{9}$.

Thus, the required percentage is "150 percent(%)".