What is 1/7 of 31?

How to calculate 1/7 of 31?

1. Multiply the whole number by the numerator of the fraction: 31 × 1 = 31
2. Divide this result by denominator of the fraction: 31/7 = 4.4285714285714

Since 31/7 is an improper fraction, the result could also be expressed as a mixed number: 4 3/7

How does it work?

The principle behind finding a fraction of a number, such as 1/7 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{7}=\frac{x}{31}$ (where x represents 1/7 of 31)

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

Thus, 1/7 of 31 is equal to 31/7 (or 4.4285714285714 in its decimal form).