What is 3/4 of 52?

How to calculate 3/4 of 52?

1. Multiply the whole number by the numerator of the fraction: 52 × 3 = 156
2. Divide this result by denominator of the fraction: 156/4 = 39
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 156/4 = 39
   • 4/4 = 1
4. Which gives: 39/1

How does it work?

The principle behind finding a fraction of a number, such as 3/4 of 52, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{4}=\frac{x}{52}$ (where x represents 3/4 of 52)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 52=4x$
2. Which gives: $156=4x$
3. Divide both sides by 4 to isolate x: $\frac{156}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{156}{4}=x$ (or $\frac{39}{1}=x$)

Thus, 3/4 of 52 is equal to 39/1 (or 39 in its decimal form).