What is 2/9 of 83?

How to calculate 2/9 of 83?

1. Multiply the whole number by the numerator of the fraction: 83 × 2 = 166
2. Divide this result by denominator of the fraction: 166/9 = 18.444444444444

Since 166/9 is an improper fraction, the result could also be expressed as a mixed number: 18 4/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{83}$ (where x represents 2/9 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 83=9x$
2. Which gives: $166=9x$
3. Divide both sides by 9 to isolate x: $\frac{166}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{166}{9}=x$

Thus, 2/9 of 83 is equal to 166/9 (or 18.444444444444 in its decimal form).