What is 1/6 of 71?

How to calculate 1/6 of 71?

1. Multiply the whole number by the numerator of the fraction: 71 × 1 = 71
2. Divide this result by denominator of the fraction: 71/6 = 11.833333333333

Since 71/6 is an improper fraction, the result could also be expressed as a mixed number: 11 5/6

How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 71, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{6}=\frac{x}{71}$ (where x represents 1/6 of 71)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 71=6x$
2. Which gives: $71=6x$
3. Divide both sides by 6 to isolate x: $\frac{71}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{71}{6}=x$

Thus, 1/6 of 71 is equal to 71/6 (or 11.833333333333 in its decimal form).