What is 3/10 of 97?

How to calculate 3/10 of 97?

1. Multiply the whole number by the numerator of the fraction: 97 × 3 = 291
2. Divide this result by denominator of the fraction: 291/10 = 29.1

Since 291/10 is an improper fraction, the result could also be expressed as a mixed number: 29 1/10

How does it work?

The principle behind finding a fraction of a number, such as 3/10 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{10}=\frac{x}{97}$ (where x represents 3/10 of 97)

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

Thus, 3/10 of 97 is equal to 291/10 (or 29.1 in its decimal form).