What is 10/6 of 5?

How to calculate 10/6 of 5?

1. Multiply the whole number by the numerator of the fraction: 5 × 10 = 50
2. Divide this result by denominator of the fraction: 50/6 = 8.3333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 50/2 = 25
   • 6/2 = 3
4. Which gives: 25/3

Since 25/3 is an improper fraction, the result could also be expressed as a mixed number: 8 1/3

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 5=6x$
2. Which gives: $50=6x$
3. Divide both sides by 6 to isolate x: $\frac{50}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{50}{6}=x$ (or $\frac{25}{3}=x$)

Thus, 10/6 of 5 is equal to 25/3 (or 8.3333333333333 in its decimal form).