What is 1/10 of 25?

How to calculate 1/10 of 25?

1. Multiply the whole number by the numerator of the fraction: 25 × 1 = 25
2. Divide this result by denominator of the fraction: 25/10 = 2.5
3. Simplify by dividing both the numerator and denominator by their GCD (5):
   • 25/5 = 5
   • 10/5 = 2
4. Which gives: 5/2

Since 5/2 is an improper fraction, the result could also be expressed as a mixed number: 2 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 25, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{10}=\frac{x}{25}$ (where x represents 1/10 of 25)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 25=10x$
2. Which gives: $25=10x$
3. Divide both sides by 10 to isolate x: $\frac{25}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{25}{10}=x$ (or $\frac{5}{2}=x$)

Thus, 1/10 of 25 is equal to 5/2 (or 2.5 in its decimal form).