What is 3/2 of 34?

How to calculate 3/2 of 34?

1. Multiply the whole number by the numerator of the fraction: 34 × 3 = 102
2. Divide this result by denominator of the fraction: 102/2 = 51
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 102/2 = 51
   • 2/2 = 1
4. Which gives: 51/1

How does it work?

The principle behind finding a fraction of a number, such as 3/2 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{2}=\frac{x}{34}$ (where x represents 3/2 of 34)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 34=2x$
2. Which gives: $102=2x$
3. Divide both sides by 2 to isolate x: $\frac{102}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{102}{2}=x$ (or $\frac{51}{1}=x$)

Thus, 3/2 of 34 is equal to 51/1 (or 51 in its decimal form).