What is 2/10 of 19?

How to calculate 2/10 of 19?

1. Multiply the whole number by the numerator of the fraction: 19 × 2 = 38
2. Divide this result by denominator of the fraction: 38/10 = 3.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 38/2 = 19
   • 10/2 = 5
4. Which gives: 19/5

Since 19/5 is an improper fraction, the result could also be expressed as a mixed number: 3 4/5

How does it work?

The principle behind finding a fraction of a number, such as 2/10 of 19, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{10}=\frac{x}{19}$ (where x represents 2/10 of 19)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 19=10x$
2. Which gives: $38=10x$
3. Divide both sides by 10 to isolate x: $\frac{38}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{38}{10}=x$ (or $\frac{19}{5}=x$)

Thus, 2/10 of 19 is equal to 19/5 (or 3.8 in its decimal form).