What is 10/2 of 79?

How to calculate 10/2 of 79?

1. Multiply the whole number by the numerator of the fraction: 79 × 10 = 790
2. Divide this result by denominator of the fraction: 790/2 = 395
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 790/2 = 395
   • 2/2 = 1
4. Which gives: 395/1

How does it work?

The principle behind finding a fraction of a number, such as 10/2 of 79, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{2}=\frac{x}{79}$ (where x represents 10/2 of 79)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 79=2x$
2. Which gives: $790=2x$
3. Divide both sides by 2 to isolate x: $\frac{790}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{790}{2}=x$ (or $\frac{395}{1}=x$)

Thus, 10/2 of 79 is equal to 395/1 (or 395 in its decimal form).