What is 4/8 of 47?

How to calculate 4/8 of 47?

1. Multiply the whole number by the numerator of the fraction: 47 × 4 = 188
2. Divide this result by denominator of the fraction: 188/8 = 23.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 188/4 = 47
   • 8/4 = 2
4. Which gives: 47/2

Since 47/2 is an improper fraction, the result could also be expressed as a mixed number: 23 1/2

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 47, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{8}=\frac{x}{47}$ (where x represents 4/8 of 47)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 47=8x$
2. Which gives: $188=8x$
3. Divide both sides by 8 to isolate x: $\frac{188}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{188}{8}=x$ (or $\frac{47}{2}=x$)

Thus, 4/8 of 47 is equal to 47/2 (or 23.5 in its decimal form).