What is 1/4 of 32?

How to calculate 1/4 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: 32/4 = 8
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 32/4 = 8
   • 4/4 = 1
4. Which gives: 8/1

How does it work?

The principle behind finding a fraction of a number, such as 1/4 of 32, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{4}=\frac{x}{32}$ (where x represents 1/4 of 32)

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

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