What is 3/7 of 58?

How to calculate 3/7 of 58?

1. Multiply the whole number by the numerator of the fraction: 58 × 3 = 174
2. Divide this result by denominator of the fraction: 174/7 = 24.857142857143

Since 174/7 is an improper fraction, the result could also be expressed as a mixed number: 24 6/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{58}$ (where x represents 3/7 of 58)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 58=7x$
2. Which gives: $174=7x$
3. Divide both sides by 7 to isolate x: $\frac{174}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{174}{7}=x$

Thus, 3/7 of 58 is equal to 174/7 (or 24.857142857143 in its decimal form).