What is 8/7 of 83?

How to calculate 8/7 of 83?

1. Multiply the whole number by the numerator of the fraction: 83 × 8 = 664
2. Divide this result by denominator of the fraction: 664/7 = 94.857142857143

Since 664/7 is an improper fraction, the result could also be expressed as a mixed number: 94 6/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{83}$ (where x represents 8/7 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 83=7x$
2. Which gives: $664=7x$
3. Divide both sides by 7 to isolate x: $\frac{664}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{664}{7}=x$

Thus, 8/7 of 83 is equal to 664/7 (or 94.857142857143 in its decimal form).