What is 1/6 of 23?

How to calculate 1/6 of 23?

1. Multiply the whole number by the numerator of the fraction: 23 × 1 = 23
2. Divide this result by denominator of the fraction: 23/6 = 3.8333333333333

Since 23/6 is an improper fraction, the result could also be expressed as a mixed number: 3 5/6

How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 23, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{6}=\frac{x}{23}$ (where x represents 1/6 of 23)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 23=6x$
2. Which gives: $23=6x$
3. Divide both sides by 6 to isolate x: $\frac{23}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{23}{6}=x$

Thus, 1/6 of 23 is equal to 23/6 (or 3.8333333333333 in its decimal form).