What is 2/9 of 46?

How to calculate 2/9 of 46?

1. Multiply the whole number by the numerator of the fraction: 46 × 2 = 92
2. Divide this result by denominator of the fraction: 92/9 = 10.222222222222

Since 92/9 is an improper fraction, the result could also be expressed as a mixed number: 10 2/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 46, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{46}$ (where x represents 2/9 of 46)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 46=9x$
2. Which gives: $92=9x$
3. Divide both sides by 9 to isolate x: $\frac{92}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{92}{9}=x$

Thus, 2/9 of 46 is equal to 92/9 (or 10.222222222222 in its decimal form).