What is 1/4 of 39?

How to calculate 1/4 of 39?

1. Multiply the whole number by the numerator of the fraction: 39 × 1 = 39
2. Divide this result by denominator of the fraction: 39/4 = 9.75

Since 39/4 is an improper fraction, the result could also be expressed as a mixed number: 9 3/4

How does it work?

The principle behind finding a fraction of a number, such as 1/4 of 39, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{4}=\frac{x}{39}$ (where x represents 1/4 of 39)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 39=4x$
2. Which gives: $39=4x$
3. Divide both sides by 4 to isolate x: $\frac{39}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{39}{4}=x$

Thus, 1/4 of 39 is equal to 39/4 (or 9.75 in its decimal form).