What is 4/8 of 23?

How to calculate 4/8 of 23?

1. Multiply the whole number by the numerator of the fraction: 23 × 4 = 92
2. Divide this result by denominator of the fraction: 92/8 = 11.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 92/4 = 23
   • 8/4 = 2
4. Which gives: 23/2

Since 23/2 is an improper fraction, the result could also be expressed as a mixed number: 11 1/2

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 23, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{8}=\frac{x}{23}$ (where x represents 4/8 of 23)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 23=8x$
2. Which gives: $92=8x$
3. Divide both sides by 8 to isolate x: $\frac{92}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{92}{8}=x$ (or $\frac{23}{2}=x$)

Thus, 4/8 of 23 is equal to 23/2 (or 11.5 in its decimal form).