What is 6/10 of 71?

How to calculate 6/10 of 71?

1. Multiply the whole number by the numerator of the fraction: 71 × 6 = 426
2. Divide this result by denominator of the fraction: 426/10 = 42.6
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 426/2 = 213
   • 10/2 = 5
4. Which gives: 213/5

Since 213/5 is an improper fraction, the result could also be expressed as a mixed number: 42 3/5

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 71=10x$
2. Which gives: $426=10x$
3. Divide both sides by 10 to isolate x: $\frac{426}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{426}{10}=x$ (or $\frac{213}{5}=x$)

Thus, 6/10 of 71 is equal to 213/5 (or 42.6 in its decimal form).