What is 1/7 of 65?

How to calculate 1/7 of 65?

1. Multiply the whole number by the numerator of the fraction: 65 × 1 = 65
2. Divide this result by denominator of the fraction: 65/7 = 9.2857142857143

Since 65/7 is an improper fraction, the result could also be expressed as a mixed number: 9 2/7

How does it work?

The principle behind finding a fraction of a number, such as 1/7 of 65, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{7}=\frac{x}{65}$ (where x represents 1/7 of 65)

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

Thus, 1/7 of 65 is equal to 65/7 (or 9.2857142857143 in its decimal form).