What is 8/7 of 97?

How to calculate 8/7 of 97?

1. Multiply the whole number by the numerator of the fraction: 97 × 8 = 776
2. Divide this result by denominator of the fraction: 776/7 = 110.85714285714

Since 776/7 is an improper fraction, the result could also be expressed as a mixed number: 110 6/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{97}$ (where x represents 8/7 of 97)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 97=7x$
2. Which gives: $776=7x$
3. Divide both sides by 7 to isolate x: $\frac{776}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{776}{7}=x$

Thus, 8/7 of 97 is equal to 776/7 (or 110.85714285714 in its decimal form).