What is 5/10 of 59?

How to calculate 5/10 of 59?

1. Multiply the whole number by the numerator of the fraction: 59 × 5 = 295
2. Divide this result by denominator of the fraction: 295/10 = 29.5
3. Simplify by dividing both the numerator and denominator by their GCD (5):
   • 295/5 = 59
   • 10/5 = 2
4. Which gives: 59/2

Since 59/2 is an improper fraction, the result could also be expressed as a mixed number: 29 1/2

How does it work?

The principle behind finding a fraction of a number, such as 5/10 of 59, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{10}=\frac{x}{59}$ (where x represents 5/10 of 59)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 59=10x$
2. Which gives: $295=10x$
3. Divide both sides by 10 to isolate x: $\frac{295}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{295}{10}=x$ (or $\frac{59}{2}=x$)

Thus, 5/10 of 59 is equal to 59/2 (or 29.5 in its decimal form).