What is 4/6 of 24?

How to calculate 4/6 of 24?

1. Multiply the whole number by the numerator of the fraction: 24 × 4 = 96
2. Divide this result by denominator of the fraction: 96/6 = 16
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 96/6 = 16
   • 6/6 = 1
4. Which gives: 16/1

How does it work?

The principle behind finding a fraction of a number, such as 4/6 of 24, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{6}=\frac{x}{24}$ (where x represents 4/6 of 24)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 24=6x$
2. Which gives: $96=6x$
3. Divide both sides by 6 to isolate x: $\frac{96}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{96}{6}=x$ (or $\frac{16}{1}=x$)

Thus, 4/6 of 24 is equal to 16/1 (or 16 in its decimal form).