What is 6/10 of 95?

How to calculate 6/10 of 95?

1. Multiply the whole number by the numerator of the fraction: 95 × 6 = 570
2. Divide this result by denominator of the fraction: 570/10 = 57
3. Simplify by dividing both the numerator and denominator by their GCD (10):
   • 570/10 = 57
   • 10/10 = 1
4. Which gives: 57/1

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 95, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{95}$ (where x represents 6/10 of 95)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 95=10x$
2. Which gives: $570=10x$
3. Divide both sides by 10 to isolate x: $\frac{570}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{570}{10}=x$ (or $\frac{57}{1}=x$)

Thus, 6/10 of 95 is equal to 57/1 (or 57 in its decimal form).