What is 3/4 of 100?

How to calculate 3/4 of 100?

1. Multiply the whole number by the numerator of the fraction: 100 × 3 = 300
2. Divide this result by denominator of the fraction: 300/4 = 75
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 300/4 = 75
   • 4/4 = 1
4. Which gives: 75/1

How does it work?

The principle behind finding a fraction of a number, such as 3/4 of 100, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{4}=\frac{x}{100}$ (where x represents 3/4 of 100)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 100=4x$
2. Which gives: $300=4x$
3. Divide both sides by 4 to isolate x: $\frac{300}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{300}{4}=x$ (or $\frac{75}{1}=x$)

Thus, 3/4 of 100 is equal to 75/1 (or 75 in its decimal form).