What is 2/9 of 34?

How to calculate 2/9 of 34?

1. Multiply the whole number by the numerator of the fraction: 34 × 2 = 68
2. Divide this result by denominator of the fraction: 68/9 = 7.5555555555556

Since 68/9 is an improper fraction, the result could also be expressed as a mixed number: 7 5/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{34}$ (where x represents 2/9 of 34)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 34=9x$
2. Which gives: $68=9x$
3. Divide both sides by 9 to isolate x: $\frac{68}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{68}{9}=x$

Thus, 2/9 of 34 is equal to 68/9 (or 7.5555555555556 in its decimal form).