What is 1/10 of 75?

How to calculate 1/10 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 1 = 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 1/10 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{10}=\frac{x}{75}$ (where x represents 1/10 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 75=10x$
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, 1/10 of 75 is equal to 15/2 (or 7.5 in its decimal form).