What is 3/7 of 31?

How to calculate 3/7 of 31?

1. Multiply the whole number by the numerator of the fraction: 31 × 3 = 93
2. Divide this result by denominator of the fraction: 93/7 = 13.285714285714

Since 93/7 is an improper fraction, the result could also be expressed as a mixed number: 13 2/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{31}$ (where x represents 3/7 of 31)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 31=7x$
2. Which gives: $93=7x$
3. Divide both sides by 7 to isolate x: $\frac{93}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{93}{7}=x$

Thus, 3/7 of 31 is equal to 93/7 (or 13.285714285714 in its decimal form).