What is 10/6 of 97?

How to calculate 10/6 of 97?

1. Multiply the whole number by the numerator of the fraction: 97 × 10 = 970
2. Divide this result by denominator of the fraction: 970/6 = 161.66666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 970/2 = 485
   • 6/2 = 3
4. Which gives: 485/3

Since 485/3 is an improper fraction, the result could also be expressed as a mixed number: 161 2/3

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 97=6x$
2. Which gives: $970=6x$
3. Divide both sides by 6 to isolate x: $\frac{970}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{970}{6}=x$ (or $\frac{485}{3}=x$)

Thus, 10/6 of 97 is equal to 485/3 (or 161.66666666667 in its decimal form).