What is 2/10 of 75?

How to calculate 2/10 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: 150/10 = 15
3. Simplify by dividing both the numerator and denominator by their GCD (10):
   • 150/10 = 15
   • 10/10 = 1
4. Which gives: 15/1

How does it work?

The principle behind finding a fraction of a number, such as 2/10 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{10}=\frac{x}{75}$ (where x represents 2/10 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 75=10x$
2. Which gives: $150=10x$
3. Divide both sides by 10 to isolate x: $\frac{150}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{150}{10}=x$ (or $\frac{15}{1}=x$)

Thus, 2/10 of 75 is equal to 15/1 (or 15 in its decimal form).