What is 2/9 of 76?

How to calculate 2/9 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 2 = 152
2. Divide this result by denominator of the fraction: 152/9 = 16.888888888889

Since 152/9 is an improper fraction, the result could also be expressed as a mixed number: 16 8/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{76}$ (where x represents 2/9 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 76=9x$
2. Which gives: $152=9x$
3. Divide both sides by 9 to isolate x: $\frac{152}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{152}{9}=x$

Thus, 2/9 of 76 is equal to 152/9 (or 16.888888888889 in its decimal form).