What is 2/4 of 75?

How to calculate 2/4 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 2 = 150
2. Divide this result by denominator of the fraction: 150/4 = 37.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 150/2 = 75
   • 4/2 = 2
4. Which gives: 75/2

Since 75/2 is an improper fraction, the result could also be expressed as a mixed number: 37 1/2

How does it work?

The principle behind finding a fraction of a number, such as 2/4 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{4}=\frac{x}{75}$ (where x represents 2/4 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 75=4x$
2. Which gives: $150=4x$
3. Divide both sides by 4 to isolate x: $\frac{150}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{150}{4}=x$ (or $\frac{75}{2}=x$)

Thus, 2/4 of 75 is equal to 75/2 (or 37.5 in its decimal form).