What is 2/8 of 91?

How to calculate 2/8 of 91?

1. Multiply the whole number by the numerator of the fraction: 91 × 2 = 182
2. Divide this result by denominator of the fraction: 182/8 = 22.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 182/2 = 91
   • 8/2 = 4
4. Which gives: 91/4

Since 91/4 is an improper fraction, the result could also be expressed as a mixed number: 22 3/4

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 91, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{91}$ (where x represents 2/8 of 91)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 91=8x$
2. Which gives: $182=8x$
3. Divide both sides by 8 to isolate x: $\frac{182}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{182}{8}=x$ (or $\frac{91}{4}=x$)

Thus, 2/8 of 91 is equal to 91/4 (or 22.75 in its decimal form).