What is 3/10 of 30?

How to calculate 3/10 of 30?

1. Multiply the whole number by the numerator of the fraction: 30 × 3 = 90
2. Divide this result by denominator of the fraction: 90/10 = 9
3. Simplify by dividing both the numerator and denominator by their GCD (10):
   • 90/10 = 9
   • 10/10 = 1
4. Which gives: 9/1

How does it work?

The principle behind finding a fraction of a number, such as 3/10 of 30, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{10}=\frac{x}{30}$ (where x represents 3/10 of 30)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 30=10x$
2. Which gives: $90=10x$
3. Divide both sides by 10 to isolate x: $\frac{90}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{90}{10}=x$ (or $\frac{9}{1}=x$)

Thus, 3/10 of 30 is equal to 9/1 (or 9 in its decimal form).