What is 2/10 of 33?

How to calculate 2/10 of 33?

1. Multiply the whole number by the numerator of the fraction: 33 × 2 = 66
2. Divide this result by denominator of the fraction: 66/10 = 6.6
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 66/2 = 33
   • 10/2 = 5
4. Which gives: 33/5

Since 33/5 is an improper fraction, the result could also be expressed as a mixed number: 6 3/5

How does it work?

The principle behind finding a fraction of a number, such as 2/10 of 33, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{10}=\frac{x}{33}$ (where x represents 2/10 of 33)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 33=10x$
2. Which gives: $66=10x$
3. Divide both sides by 10 to isolate x: $\frac{66}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{66}{10}=x$ (or $\frac{33}{5}=x$)

Thus, 2/10 of 33 is equal to 33/5 (or 6.6 in its decimal form).