What is 10/6 of 50?

How to calculate 10/6 of 50?

1. Multiply the whole number by the numerator of the fraction: 50 × 10 = 500
2. Divide this result by denominator of the fraction: 500/6 = 83.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 500/2 = 250
   • 6/2 = 3
4. Which gives: 250/3

Since 250/3 is an improper fraction, the result could also be expressed as a mixed number: 83 1/3

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 50, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{50}$ (where x represents 10/6 of 50)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 50=6x$
2. Which gives: $500=6x$
3. Divide both sides by 6 to isolate x: $\frac{500}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{500}{6}=x$ (or $\frac{250}{3}=x$)

Thus, 10/6 of 50 is equal to 250/3 (or 83.333333333333 in its decimal form).