What is 2/9 of 77?

How to calculate 2/9 of 77?

1. Multiply the whole number by the numerator of the fraction: 77 × 2 = 154
2. Divide this result by denominator of the fraction: 154/9 = 17.111111111111

Since 154/9 is an improper fraction, the result could also be expressed as a mixed number: 17 1/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 77, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{77}$ (where x represents 2/9 of 77)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 77=9x$
2. Which gives: $154=9x$
3. Divide both sides by 9 to isolate x: $\frac{154}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{154}{9}=x$

Thus, 2/9 of 77 is equal to 154/9 (or 17.111111111111 in its decimal form).