What is 6/10 of 85?

How to calculate 6/10 of 85?

1. Multiply the whole number by the numerator of the fraction: 85 × 6 = 510
2. Divide this result by denominator of the fraction: 510/10 = 51
3. Simplify by dividing both the numerator and denominator by their GCD (10):
   • 510/10 = 51
   • 10/10 = 1
4. Which gives: 51/1

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 85, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{85}$ (where x represents 6/10 of 85)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 85=10x$
2. Which gives: $510=10x$
3. Divide both sides by 10 to isolate x: $\frac{510}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{510}{10}=x$ (or $\frac{51}{1}=x$)

Thus, 6/10 of 85 is equal to 51/1 (or 51 in its decimal form).