What is 3/7 of 29?

How to calculate 3/7 of 29?

1. Multiply the whole number by the numerator of the fraction: 29 × 3 = 87
2. Divide this result by denominator of the fraction: 87/7 = 12.428571428571

Since 87/7 is an improper fraction, the result could also be expressed as a mixed number: 12 3/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 29, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{29}$ (where x represents 3/7 of 29)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 29=7x$
2. Which gives: $87=7x$
3. Divide both sides by 7 to isolate x: $\frac{87}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{87}{7}=x$

Thus, 3/7 of 29 is equal to 87/7 (or 12.428571428571 in its decimal form).