What is 4/9 of 68?

How to calculate 4/9 of 68?

1. Multiply the whole number by the numerator of the fraction: 68 × 4 = 272
2. Divide this result by denominator of the fraction: 272/9 = 30.222222222222

Since 272/9 is an improper fraction, the result could also be expressed as a mixed number: 30 2/9

How does it work?

The principle behind finding a fraction of a number, such as 4/9 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{9}=\frac{x}{68}$ (where x represents 4/9 of 68)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 68=9x$
2. Which gives: $272=9x$
3. Divide both sides by 9 to isolate x: $\frac{272}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{272}{9}=x$

Thus, 4/9 of 68 is equal to 272/9 (or 30.222222222222 in its decimal form).