What is 2/4 of 80?

How to calculate 2/4 of 80?

1. Multiply the whole number by the numerator of the fraction: 80 × 2 = 160
2. Divide this result by denominator of the fraction: 160/4 = 40
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 160/4 = 40
   • 4/4 = 1
4. Which gives: 40/1

How does it work?

The principle behind finding a fraction of a number, such as 2/4 of 80, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{4}=\frac{x}{80}$ (where x represents 2/4 of 80)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 80=4x$
2. Which gives: $160=4x$
3. Divide both sides by 4 to isolate x: $\frac{160}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{160}{4}=x$ (or $\frac{40}{1}=x$)

Thus, 2/4 of 80 is equal to 40/1 (or 40 in its decimal form).