What is 4/9 of 29?

How to calculate 4/9 of 29?

1. Multiply the whole number by the numerator of the fraction: 29 × 4 = 116
2. Divide this result by denominator of the fraction: 116/9 = 12.888888888889

Since 116/9 is an improper fraction, the result could also be expressed as a mixed number: 12 8/9

How does it work?

The principle behind finding a fraction of a number, such as 4/9 of 29, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{9}=\frac{x}{29}$ (where x represents 4/9 of 29)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 29=9x$
2. Which gives: $116=9x$
3. Divide both sides by 9 to isolate x: $\frac{116}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{116}{9}=x$

Thus, 4/9 of 29 is equal to 116/9 (or 12.888888888889 in its decimal form).