What is 5/6 of 12?

How to calculate 5/6 of 12?

1. Multiply the whole number by the numerator of the fraction: 12 × 5 = 60
2. Divide this result by denominator of the fraction: 60/6 = 10
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 60/6 = 10
   • 6/6 = 1
4. Which gives: 10/1

How does it work?

The principle behind finding a fraction of a number, such as 5/6 of 12, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{6}=\frac{x}{12}$ (where x represents 5/6 of 12)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 12=6x$
2. Which gives: $60=6x$
3. Divide both sides by 6 to isolate x: $\frac{60}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{60}{6}=x$ (or $\frac{10}{1}=x$)

Thus, 5/6 of 12 is equal to 10/1 (or 10 in its decimal form).