What is 1/6 of 10?

How to calculate 1/6 of 10?

1. Multiply the whole number by the numerator of the fraction: 10 × 1 = 10
2. Divide this result by denominator of the fraction: 10/6 = 1.6666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 10/2 = 5
   • 6/2 = 3
4. Which gives: 5/3

Since 5/3 is an improper fraction, the result could also be expressed as a mixed number: 1 2/3

How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 10, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{6}=\frac{x}{10}$ (where x represents 1/6 of 10)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 10=6x$
2. Which gives: $10=6x$
3. Divide both sides by 6 to isolate x: $\frac{10}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{10}{6}=x$ (or $\frac{5}{3}=x$)

Thus, 1/6 of 10 is equal to 5/3 (or 1.6666666666667 in its decimal form).