What is 5/10 of 6?

How to calculate 5/10 of 6?

1. Multiply the whole number by the numerator of the fraction: 6 × 5 = 30
2. Divide this result by denominator of the fraction: 30/10 = 3
3. Simplify by dividing both the numerator and denominator by their GCD (10):
   • 30/10 = 3
   • 10/10 = 1
4. Which gives: 3/1

How does it work?

The principle behind finding a fraction of a number, such as 5/10 of 6, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{10}=\frac{x}{6}$ (where x represents 5/10 of 6)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 6=10x$
2. Which gives: $30=10x$
3. Divide both sides by 10 to isolate x: $\frac{30}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{30}{10}=x$ (or $\frac{3}{1}=x$)

Thus, 5/10 of 6 is equal to 3/1 (or 3 in its decimal form).