What is 1/4 of 30?

How to calculate 1/4 of 30?

1. Multiply the whole number by the numerator of the fraction: 30 × 1 = 30
2. Divide this result by denominator of the fraction: 30/4 = 7.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 30/2 = 15
   • 4/2 = 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 1/4 of 30, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{4}=\frac{x}{30}$ (where x represents 1/4 of 30)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 30=4x$
2. Which gives: $30=4x$
3. Divide both sides by 4 to isolate x: $\frac{30}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{30}{4}=x$ (or $\frac{15}{2}=x$)

Thus, 1/4 of 30 is equal to 15/2 (or 7.5 in its decimal form).