What is 4/8 of 82?

How to calculate 4/8 of 82?

1. Multiply the whole number by the numerator of the fraction: 82 × 4 = 328
2. Divide this result by denominator of the fraction: 328/8 = 41
3. Simplify by dividing both the numerator and denominator by their GCD (8):
   • 328/8 = 41
   • 8/8 = 1
4. Which gives: 41/1

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 82, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{8}=\frac{x}{82}$ (where x represents 4/8 of 82)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 82=8x$
2. Which gives: $328=8x$
3. Divide both sides by 8 to isolate x: $\frac{328}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{328}{8}=x$ (or $\frac{41}{1}=x$)

Thus, 4/8 of 82 is equal to 41/1 (or 41 in its decimal form).