What is 2/7 of 58?

How to calculate 2/7 of 58?

1. Multiply the whole number by the numerator of the fraction: 58 × 2 = 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 2/7 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{58}$ (where x represents 2/7 of 58)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 58=7x$
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, 2/7 of 58 is equal to 116/7 (or 16.571428571429 in its decimal form).