What is 10/2 of 73?

How to calculate 10/2 of 73?

1. Multiply the whole number by the numerator of the fraction: 73 × 10 = 730
2. Divide this result by denominator of the fraction: 730/2 = 365
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 730/2 = 365
   • 2/2 = 1
4. Which gives: 365/1

How does it work?

The principle behind finding a fraction of a number, such as 10/2 of 73, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{2}=\frac{x}{73}$ (where x represents 10/2 of 73)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 73=2x$
2. Which gives: $730=2x$
3. Divide both sides by 2 to isolate x: $\frac{730}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{730}{2}=x$ (or $\frac{365}{1}=x$)

Thus, 10/2 of 73 is equal to 365/1 (or 365 in its decimal form).