What is 2/9 of 61?

How to calculate 2/9 of 61?

1. Multiply the whole number by the numerator of the fraction: 61 × 2 = 122
2. Divide this result by denominator of the fraction: 122/9 = 13.555555555556

Since 122/9 is an improper fraction, the result could also be expressed as a mixed number: 13 5/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 61, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{61}$ (where x represents 2/9 of 61)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 61=9x$
2. Which gives: $122=9x$
3. Divide both sides by 9 to isolate x: $\frac{122}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{122}{9}=x$

Thus, 2/9 of 61 is equal to 122/9 (or 13.555555555556 in its decimal form).