What is 8/7 of 93?

How to calculate 8/7 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: 744/7 = 106.28571428571

Since 744/7 is an improper fraction, the result could also be expressed as a mixed number: 106 2/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 93, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{93}$ (where x represents 8/7 of 93)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 93=7x$
2. Which gives: $744=7x$
3. Divide both sides by 7 to isolate x: $\frac{744}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{744}{7}=x$

Thus, 8/7 of 93 is equal to 744/7 (or 106.28571428571 in its decimal form).