What is 2/8 of 89?

How to calculate 2/8 of 89?

1. Multiply the whole number by the numerator of the fraction: 89 × 2 = 178
2. Divide this result by denominator of the fraction: 178/8 = 22.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 178/2 = 89
   • 8/2 = 4
4. Which gives: 89/4

Since 89/4 is an improper fraction, the result could also be expressed as a mixed number: 22 1/4

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 89, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{89}$ (where x represents 2/8 of 89)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 89=8x$
2. Which gives: $178=8x$
3. Divide both sides by 8 to isolate x: $\frac{178}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{178}{8}=x$ (or $\frac{89}{4}=x$)

Thus, 2/8 of 89 is equal to 89/4 (or 22.25 in its decimal form).