What is 10/6 of 71?

How to calculate 10/6 of 71?

1. Multiply the whole number by the numerator of the fraction: 71 × 10 = 710
2. Divide this result by denominator of the fraction: 710/6 = 118.33333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 710/2 = 355
   • 6/2 = 3
4. Which gives: 355/3

Since 355/3 is an improper fraction, the result could also be expressed as a mixed number: 118 1/3

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 71, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{71}$ (where x represents 10/6 of 71)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 71=6x$
2. Which gives: $710=6x$
3. Divide both sides by 6 to isolate x: $\frac{710}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{710}{6}=x$ (or $\frac{355}{3}=x$)

Thus, 10/6 of 71 is equal to 355/3 (or 118.33333333333 in its decimal form).