What is 6/10 of 97?

How to calculate 6/10 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: 582/10 = 58.2
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 582/2 = 291
   • 10/2 = 5
4. Which gives: 291/5

Since 291/5 is an improper fraction, the result could also be expressed as a mixed number: 58 1/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{97}$ (where x represents 6/10 of 97)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 97=10x$
2. Which gives: $582=10x$
3. Divide both sides by 10 to isolate x: $\frac{582}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{582}{10}=x$ (or $\frac{291}{5}=x$)

Thus, 6/10 of 97 is equal to 291/5 (or 58.2 in its decimal form).