What is 2/10 of 24?

How to calculate 2/10 of 24?

1. Multiply the whole number by the numerator of the fraction: 24 × 2 = 48
2. Divide this result by denominator of the fraction: 48/10 = 4.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 48/2 = 24
   • 10/2 = 5
4. Which gives: 24/5

Since 24/5 is an improper fraction, the result could also be expressed as a mixed number: 4 4/5

How does it work?

The principle behind finding a fraction of a number, such as 2/10 of 24, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{10}=\frac{x}{24}$ (where x represents 2/10 of 24)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 24=10x$
2. Which gives: $48=10x$
3. Divide both sides by 10 to isolate x: $\frac{48}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{48}{10}=x$ (or $\frac{24}{5}=x$)

Thus, 2/10 of 24 is equal to 24/5 (or 4.8 in its decimal form).