What is 2/3 of 97?

How to calculate 2/3 of 97?

1. Multiply the whole number by the numerator of the fraction: 97 × 2 = 194
2. Divide this result by denominator of the fraction: 194/3 = 64.666666666667

Since 194/3 is an improper fraction, the result could also be expressed as a mixed number: 64 2/3

How does it work?

The principle behind finding a fraction of a number, such as 2/3 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{3}=\frac{x}{97}$ (where x represents 2/3 of 97)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 97=3x$
2. Which gives: $194=3x$
3. Divide both sides by 3 to isolate x: $\frac{194}{3}=\frac{3x}{3}$
4. Which gives the result: $\frac{194}{3}=x$

Thus, 2/3 of 97 is equal to 194/3 (or 64.666666666667 in its decimal form).