What is 2/8 of 54?

How to calculate 2/8 of 54?

1. Multiply the whole number by the numerator of the fraction: 54 × 2 = 108
2. Divide this result by denominator of the fraction: 108/8 = 13.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 108/4 = 27
   • 8/4 = 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 2/8 of 54, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{54}$ (where x represents 2/8 of 54)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 54=8x$
2. Which gives: $108=8x$
3. Divide both sides by 8 to isolate x: $\frac{108}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{108}{8}=x$ (or $\frac{27}{2}=x$)

Thus, 2/8 of 54 is equal to 27/2 (or 13.5 in its decimal form).