What is 2/6 of 57?

How to calculate 2/6 of 57?

1. Multiply the whole number by the numerator of the fraction: 57 × 2 = 114
2. Divide this result by denominator of the fraction: 114/6 = 19
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 114/6 = 19
   • 6/6 = 1
4. Which gives: 19/1

How does it work?

The principle behind finding a fraction of a number, such as 2/6 of 57, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{6}=\frac{x}{57}$ (where x represents 2/6 of 57)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 57=6x$
2. Which gives: $114=6x$
3. Divide both sides by 6 to isolate x: $\frac{114}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{114}{6}=x$ (or $\frac{19}{1}=x$)

Thus, 2/6 of 57 is equal to 19/1 (or 19 in its decimal form).