What is 3/10 of 25?

How to calculate 3/10 of 25?

1. Multiply the whole number by the numerator of the fraction: 25 × 3 = 75
2. Divide this result by denominator of the fraction: 75/10 = 7.5
3. Simplify by dividing both the numerator and denominator by their GCD (5):
   • 75/5 = 15
   • 10/5 = 2
4. Which gives: 15/2

Since 15/2 is an improper fraction, the result could also be expressed as a mixed number: 7 1/2

How does it work?

The principle behind finding a fraction of a number, such as 3/10 of 25, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{10}=\frac{x}{25}$ (where x represents 3/10 of 25)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 25=10x$
2. Which gives: $75=10x$
3. Divide both sides by 10 to isolate x: $\frac{75}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{75}{10}=x$ (or $\frac{15}{2}=x$)

Thus, 3/10 of 25 is equal to 15/2 (or 7.5 in its decimal form).