What is 3/9 of 82?

How to calculate 3/9 of 82?

1. Multiply the whole number by the numerator of the fraction: 82 × 3 = 246
2. Divide this result by denominator of the fraction: 246/9 = 27.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 246/3 = 82
   • 9/3 = 3
4. Which gives: 82/3

Since 82/3 is an improper fraction, the result could also be expressed as a mixed number: 27 1/3

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 82, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{82}$ (where x represents 3/9 of 82)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 82=9x$
2. Which gives: $246=9x$
3. Divide both sides by 9 to isolate x: $\frac{246}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{246}{9}=x$ (or $\frac{82}{3}=x$)

Thus, 3/9 of 82 is equal to 82/3 (or 27.333333333333 in its decimal form).