What is 2/8 of 83?

How to calculate 2/8 of 83?

1. Multiply the whole number by the numerator of the fraction: 83 × 2 = 166
2. Divide this result by denominator of the fraction: 166/8 = 20.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 166/2 = 83
   • 8/2 = 4
4. Which gives: 83/4

Since 83/4 is an improper fraction, the result could also be expressed as a mixed number: 20 3/4

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{83}$ (where x represents 2/8 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 83=8x$
2. Which gives: $166=8x$
3. Divide both sides by 8 to isolate x: $\frac{166}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{166}{8}=x$ (or $\frac{83}{4}=x$)

Thus, 2/8 of 83 is equal to 83/4 (or 20.75 in its decimal form).