What is 2/7 of 25?

How to calculate 2/7 of 25?

1. Multiply the whole number by the numerator of the fraction: 25 × 2 = 50
2. Divide this result by denominator of the fraction: 50/7 = 7.1428571428571

Since 50/7 is an improper fraction, the result could also be expressed as a mixed number: 7 1/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 25, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{25}$ (where x represents 2/7 of 25)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 25=7x$
2. Which gives: $50=7x$
3. Divide both sides by 7 to isolate x: $\frac{50}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{50}{7}=x$

Thus, 2/7 of 25 is equal to 50/7 (or 7.1428571428571 in its decimal form).