What is 9/6 of 97?

How to calculate 9/6 of 97?

1. Multiply the whole number by the numerator of the fraction: 97 × 9 = 873
2. Divide this result by denominator of the fraction: 873/6 = 145.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 873/3 = 291
   • 6/3 = 2
4. Which gives: 291/2

Since 291/2 is an improper fraction, the result could also be expressed as a mixed number: 145 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{97}$ (where x represents 9/6 of 97)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 97=6x$
2. Which gives: $873=6x$
3. Divide both sides by 6 to isolate x: $\frac{873}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{873}{6}=x$ (or $\frac{291}{2}=x$)

Thus, 9/6 of 97 is equal to 291/2 (or 145.5 in its decimal form).