What is 2/6 of 47?

How to calculate 2/6 of 47?

1. Multiply the whole number by the numerator of the fraction: 47 × 2 = 94
2. Divide this result by denominator of the fraction: 94/6 = 15.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 94/2 = 47
   • 6/2 = 3
4. Which gives: 47/3

Since 47/3 is an improper fraction, the result could also be expressed as a mixed number: 15 2/3

How does it work?

The principle behind finding a fraction of a number, such as 2/6 of 47, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{6}=\frac{x}{47}$ (where x represents 2/6 of 47)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 47=6x$
2. Which gives: $94=6x$
3. Divide both sides by 6 to isolate x: $\frac{94}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{94}{6}=x$ (or $\frac{47}{3}=x$)

Thus, 2/6 of 47 is equal to 47/3 (or 15.666666666667 in its decimal form).