What is 5/6 of 44?

How to calculate 5/6 of 44?

1. Multiply the whole number by the numerator of the fraction: 44 × 5 = 220
2. Divide this result by denominator of the fraction: 220/6 = 36.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 220/2 = 110
   • 6/2 = 3
4. Which gives: 110/3

Since 110/3 is an improper fraction, the result could also be expressed as a mixed number: 36 2/3

How does it work?

The principle behind finding a fraction of a number, such as 5/6 of 44, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{6}=\frac{x}{44}$ (where x represents 5/6 of 44)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 44=6x$
2. Which gives: $220=6x$
3. Divide both sides by 6 to isolate x: $\frac{220}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{220}{6}=x$ (or $\frac{110}{3}=x$)

Thus, 5/6 of 44 is equal to 110/3 (or 36.666666666667 in its decimal form).