What is 2/6 of 11?

How to calculate 2/6 of 11?

1. Multiply the whole number by the numerator of the fraction: 11 × 2 = 22
2. Divide this result by denominator of the fraction: 22/6 = 3.6666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 22/2 = 11
   • 6/2 = 3
4. Which gives: 11/3

Since 11/3 is an improper fraction, the result could also be expressed as a mixed number: 3 2/3

How does it work?

The principle behind finding a fraction of a number, such as 2/6 of 11, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{6}=\frac{x}{11}$ (where x represents 2/6 of 11)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 11=6x$
2. Which gives: $22=6x$
3. Divide both sides by 6 to isolate x: $\frac{22}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{22}{6}=x$ (or $\frac{11}{3}=x$)

Thus, 2/6 of 11 is equal to 11/3 (or 3.6666666666667 in its decimal form).