What is 1/4 of 2?

How to calculate 1/4 of 2?

1. Multiply the whole number by the numerator of the fraction: 2 × 1 = 2
2. Divide this result by denominator of the fraction: 2/4 = 0.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 2/2 = 1
   • 4/2 = 2
4. Which gives: 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/4 of 2, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{4}=\frac{x}{2}$ (where x represents 1/4 of 2)

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

Thus, 1/4 of 2 is equal to 1/2 (or 0.5 in its decimal form).