What is 3/2 of 76?

How to calculate 3/2 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 3 = 228
2. Divide this result by denominator of the fraction: 228/2 = 114
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 228/2 = 114
   • 2/2 = 1
4. Which gives: 114/1

How does it work?

The principle behind finding a fraction of a number, such as 3/2 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{2}=\frac{x}{76}$ (where x represents 3/2 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 76=2x$
2. Which gives: $228=2x$
3. Divide both sides by 2 to isolate x: $\frac{228}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{228}{2}=x$ (or $\frac{114}{1}=x$)

Thus, 3/2 of 76 is equal to 114/1 (or 114 in its decimal form).