What is 2/4 of 27?

How to calculate 2/4 of 27?

1. Multiply the whole number by the numerator of the fraction: 27 × 2 = 54
2. Divide this result by denominator of the fraction: 54/4 = 13.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 54/2 = 27
   • 4/2 = 2
4. Which gives: 27/2

Since 27/2 is an improper fraction, the result could also be expressed as a mixed number: 13 1/2

How does it work?

The principle behind finding a fraction of a number, such as 2/4 of 27, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{4}=\frac{x}{27}$ (where x represents 2/4 of 27)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 27=4x$
2. Which gives: $54=4x$
3. Divide both sides by 4 to isolate x: $\frac{54}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{54}{4}=x$ (or $\frac{27}{2}=x$)

Thus, 2/4 of 27 is equal to 27/2 (or 13.5 in its decimal form).