What is 4/7 of 29?

How to calculate 4/7 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: 116/7 = 16.571428571429

Since 116/7 is an improper fraction, the result could also be expressed as a mixed number: 16 4/7

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 29, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{29}$ (where x represents 4/7 of 29)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 29=7x$
2. Which gives: $116=7x$
3. Divide both sides by 7 to isolate x: $\frac{116}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{116}{7}=x$

Thus, 4/7 of 29 is equal to 116/7 (or 16.571428571429 in its decimal form).