What is 1/8 of 82?

How to calculate 1/8 of 82?

1. Multiply the whole number by the numerator of the fraction: 82 × 1 = 82
2. Divide this result by denominator of the fraction: 82/8 = 10.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 82/2 = 41
   • 8/2 = 4
4. Which gives: 41/4

Since 41/4 is an improper fraction, the result could also be expressed as a mixed number: 10 1/4

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 82, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{8}=\frac{x}{82}$ (where x represents 1/8 of 82)

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

Thus, 1/8 of 82 is equal to 41/4 (or 10.25 in its decimal form).