What is 3/4 of 68?

How to calculate 3/4 of 68?

1. Multiply the whole number by the numerator of the fraction: 68 × 3 = 204
2. Divide this result by denominator of the fraction: 204/4 = 51
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 204/4 = 51
   • 4/4 = 1
4. Which gives: 51/1

How does it work?

The principle behind finding a fraction of a number, such as 3/4 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{4}=\frac{x}{68}$ (where x represents 3/4 of 68)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 68=4x$
2. Which gives: $204=4x$
3. Divide both sides by 4 to isolate x: $\frac{204}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{204}{4}=x$ (or $\frac{51}{1}=x$)

Thus, 3/4 of 68 is equal to 51/1 (or 51 in its decimal form).