What is 1/8 of 32?

How to calculate 1/8 of 32?

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

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 32, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{8}=\frac{x}{32}$ (where x represents 1/8 of 32)

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

Thus, 1/8 of 32 is equal to 4/1 (or 4 in its decimal form).