What is 2/6 of 75?

How to calculate 2/6 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 2 = 150
2. Divide this result by denominator of the fraction: 150/6 = 25
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 150/6 = 25
   • 6/6 = 1
4. Which gives: 25/1

How does it work?

The principle behind finding a fraction of a number, such as 2/6 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{6}=\frac{x}{75}$ (where x represents 2/6 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 75=6x$
2. Which gives: $150=6x$
3. Divide both sides by 6 to isolate x: $\frac{150}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{150}{6}=x$ (or $\frac{25}{1}=x$)

Thus, 2/6 of 75 is equal to 25/1 (or 25 in its decimal form).