What is 3/10 of 24?

How to calculate 3/10 of 24?

1. Multiply the whole number by the numerator of the fraction: 24 × 3 = 72
2. Divide this result by denominator of the fraction: 72/10 = 7.2
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 72/2 = 36
   • 10/2 = 5
4. Which gives: 36/5

Since 36/5 is an improper fraction, the result could also be expressed as a mixed number: 7 1/5

How does it work?

The principle behind finding a fraction of a number, such as 3/10 of 24, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{10}=\frac{x}{24}$ (where x represents 3/10 of 24)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 24=10x$
2. Which gives: $72=10x$
3. Divide both sides by 10 to isolate x: $\frac{72}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{72}{10}=x$ (or $\frac{36}{5}=x$)

Thus, 3/10 of 24 is equal to 36/5 (or 7.2 in its decimal form).