What is 5/6 of 18?

How to calculate 5/6 of 18?

1. Multiply the whole number by the numerator of the fraction: 18 × 5 = 90
2. Divide this result by denominator of the fraction: 90/6 = 15
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 90/6 = 15
   • 6/6 = 1
4. Which gives: 15/1

How does it work?

The principle behind finding a fraction of a number, such as 5/6 of 18, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{6}=\frac{x}{18}$ (where x represents 5/6 of 18)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 18=6x$
2. Which gives: $90=6x$
3. Divide both sides by 6 to isolate x: $\frac{90}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{90}{6}=x$ (or $\frac{15}{1}=x$)

Thus, 5/6 of 18 is equal to 15/1 (or 15 in its decimal form).