What is 4/8 of 11?

How to calculate 4/8 of 11?

1. Multiply the whole number by the numerator of the fraction: 11 × 4 = 44
2. Divide this result by denominator of the fraction: 44/8 = 5.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 44/4 = 11
   • 8/4 = 2
4. Which gives: 11/2

Since 11/2 is an improper fraction, the result could also be expressed as a mixed number: 5 1/2

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 11, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{8}=\frac{x}{11}$ (where x represents 4/8 of 11)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 11=8x$
2. Which gives: $44=8x$
3. Divide both sides by 8 to isolate x: $\frac{44}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{44}{8}=x$ (or $\frac{11}{2}=x$)

Thus, 4/8 of 11 is equal to 11/2 (or 5.5 in its decimal form).