What is 8/9 of 93?

How to calculate 8/9 of 93?

1. Multiply the whole number by the numerator of the fraction: 93 × 8 = 744
2. Divide this result by denominator of the fraction: 744/9 = 82.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 744/3 = 248
   • 9/3 = 3
4. Which gives: 248/3

Since 248/3 is an improper fraction, the result could also be expressed as a mixed number: 82 2/3

How does it work?

The principle behind finding a fraction of a number, such as 8/9 of 93, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{9}=\frac{x}{93}$ (where x represents 8/9 of 93)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 93=9x$
2. Which gives: $744=9x$
3. Divide both sides by 9 to isolate x: $\frac{744}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{744}{9}=x$ (or $\frac{248}{3}=x$)

Thus, 8/9 of 93 is equal to 248/3 (or 82.666666666667 in its decimal form).