What is 2/10 of 13?

How to calculate 2/10 of 13?

1. Multiply the whole number by the numerator of the fraction: 13 × 2 = 26
2. Divide this result by denominator of the fraction: 26/10 = 2.6
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 26/2 = 13
   • 10/2 = 5
4. Which gives: 13/5

Since 13/5 is an improper fraction, the result could also be expressed as a mixed number: 2 3/5

How does it work?

The principle behind finding a fraction of a number, such as 2/10 of 13, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{10}=\frac{x}{13}$ (where x represents 2/10 of 13)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 13=10x$
2. Which gives: $26=10x$
3. Divide both sides by 10 to isolate x: $\frac{26}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{26}{10}=x$ (or $\frac{13}{5}=x$)

Thus, 2/10 of 13 is equal to 13/5 (or 2.6 in its decimal form).