What is 4/2 of 86?

How to calculate 4/2 of 86?

1. Multiply the whole number by the numerator of the fraction: 86 × 4 = 344
2. Divide this result by denominator of the fraction: 344/2 = 172
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 344/2 = 172
   • 2/2 = 1
4. Which gives: 172/1

How does it work?

The principle behind finding a fraction of a number, such as 4/2 of 86, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{2}=\frac{x}{86}$ (where x represents 4/2 of 86)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 86=2x$
2. Which gives: $344=2x$
3. Divide both sides by 2 to isolate x: $\frac{344}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{344}{2}=x$ (or $\frac{172}{1}=x$)

Thus, 4/2 of 86 is equal to 172/1 (or 172 in its decimal form).