What is 2/7 of 65?

How to calculate 2/7 of 65?

1. Multiply the whole number by the numerator of the fraction: 65 × 2 = 130
2. Divide this result by denominator of the fraction: 130/7 = 18.571428571429

Since 130/7 is an improper fraction, the result could also be expressed as a mixed number: 18 4/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 65, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{65}$ (where x represents 2/7 of 65)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 65=7x$
2. Which gives: $130=7x$
3. Divide both sides by 7 to isolate x: $\frac{130}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{130}{7}=x$

Thus, 2/7 of 65 is equal to 130/7 (or 18.571428571429 in its decimal form).