What is 1/10 of 2?

How to calculate 1/10 of 2?

1. Multiply the whole number by the numerator of the fraction: 2 × 1 = 2
2. Divide this result by denominator of the fraction: 2/10 = 0.2
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 2/2 = 1
   • 10/2 = 5
4. Which gives: 1/5

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 2, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{10}=\frac{x}{2}$ (where x represents 1/10 of 2)

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

Thus, 1/10 of 2 is equal to 1/5 (or 0.2 in its decimal form).