What is 2/9 of 55?

How to calculate 2/9 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 2 = 110
2. Divide this result by denominator of the fraction: 110/9 = 12.222222222222

Since 110/9 is an improper fraction, the result could also be expressed as a mixed number: 12 2/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{55}$ (where x represents 2/9 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 55=9x$
2. Which gives: $110=9x$
3. Divide both sides by 9 to isolate x: $\frac{110}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{110}{9}=x$

Thus, 2/9 of 55 is equal to 110/9 (or 12.222222222222 in its decimal form).