What is 2/8 of 32?

How to calculate 2/8 of 32?

1. Multiply the whole number by the numerator of the fraction: 32 × 2 = 64
2. Divide this result by denominator of the fraction: 64/8 = 8
3. Simplify by dividing both the numerator and denominator by their GCD (8):
   • 64/8 = 8
   • 8/8 = 1
4. Which gives: 8/1

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 32, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{32}$ (where x represents 2/8 of 32)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 32=8x$
2. Which gives: $64=8x$
3. Divide both sides by 8 to isolate x: $\frac{64}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{64}{8}=x$ (or $\frac{8}{1}=x$)

Thus, 2/8 of 32 is equal to 8/1 (or 8 in its decimal form).