What is 2/9 of 52?

How to calculate 2/9 of 52?

1. Multiply the whole number by the numerator of the fraction: 52 × 2 = 104
2. Divide this result by denominator of the fraction: 104/9 = 11.555555555556

Since 104/9 is an improper fraction, the result could also be expressed as a mixed number: 11 5/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 52, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{52}$ (where x represents 2/9 of 52)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 52=9x$
2. Which gives: $104=9x$
3. Divide both sides by 9 to isolate x: $\frac{104}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{104}{9}=x$

Thus, 2/9 of 52 is equal to 104/9 (or 11.555555555556 in its decimal form).