What is 8/6 of 97?

How to calculate 8/6 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: 776/6 = 129.33333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 776/2 = 388
   • 6/2 = 3
4. Which gives: 388/3

Since 388/3 is an improper fraction, the result could also be expressed as a mixed number: 129 1/3

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{6}=\frac{x}{97}$ (where x represents 8/6 of 97)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 97=6x$
2. Which gives: $776=6x$
3. Divide both sides by 6 to isolate x: $\frac{776}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{776}{6}=x$ (or $\frac{388}{3}=x$)

Thus, 8/6 of 97 is equal to 388/3 (or 129.33333333333 in its decimal form).