What is 2/9 of 31?

How to calculate 2/9 of 31?

1. Multiply the whole number by the numerator of the fraction: 31 × 2 = 62
2. Divide this result by denominator of the fraction: 62/9 = 6.8888888888889

Since 62/9 is an improper fraction, the result could also be expressed as a mixed number: 6 8/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{31}$ (where x represents 2/9 of 31)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 31=9x$
2. Which gives: $62=9x$
3. Divide both sides by 9 to isolate x: $\frac{62}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{62}{9}=x$

Thus, 2/9 of 31 is equal to 62/9 (or 6.8888888888889 in its decimal form).