What is 6/8 of 97?

How to calculate 6/8 of 97?

1. Multiply the whole number by the numerator of the fraction: 97 × 6 = 582
2. Divide this result by denominator of the fraction: 582/8 = 72.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 582/2 = 291
   • 8/2 = 4
4. Which gives: 291/4

Since 291/4 is an improper fraction, the result could also be expressed as a mixed number: 72 3/4

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 97=8x$
2. Which gives: $582=8x$
3. Divide both sides by 8 to isolate x: $\frac{582}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{582}{8}=x$ (or $\frac{291}{4}=x$)

Thus, 6/8 of 97 is equal to 291/4 (or 72.75 in its decimal form).