What is 2/9 of 50?

How to calculate 2/9 of 50?

1. Multiply the whole number by the numerator of the fraction: 50 × 2 = 100
2. Divide this result by denominator of the fraction: 100/9 = 11.111111111111

Since 100/9 is an improper fraction, the result could also be expressed as a mixed number: 11 1/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 50, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{50}$ (where x represents 2/9 of 50)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 50=9x$
2. Which gives: $100=9x$
3. Divide both sides by 9 to isolate x: $\frac{100}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{100}{9}=x$

Thus, 2/9 of 50 is equal to 100/9 (or 11.111111111111 in its decimal form).