What is 5/8 of 80?

How to calculate 5/8 of 80?

1. Multiply the whole number by the numerator of the fraction: 80 × 5 = 400
2. Divide this result by denominator of the fraction: 400/8 = 50
3. Simplify by dividing both the numerator and denominator by their GCD (8):
   • 400/8 = 50
   • 8/8 = 1
4. Which gives: 50/1

How does it work?

The principle behind finding a fraction of a number, such as 5/8 of 80, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{8}=\frac{x}{80}$ (where x represents 5/8 of 80)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 80=8x$
2. Which gives: $400=8x$
3. Divide both sides by 8 to isolate x: $\frac{400}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{400}{8}=x$ (or $\frac{50}{1}=x$)

Thus, 5/8 of 80 is equal to 50/1 (or 50 in its decimal form).