What is 2/7 of 17?

How to calculate 2/7 of 17?

1. Multiply the whole number by the numerator of the fraction: 17 × 2 = 34
2. Divide this result by denominator of the fraction: 34/7 = 4.8571428571429

Since 34/7 is an improper fraction, the result could also be expressed as a mixed number: 4 6/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 17, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{17}$ (where x represents 2/7 of 17)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 17=7x$
2. Which gives: $34=7x$
3. Divide both sides by 7 to isolate x: $\frac{34}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{34}{7}=x$

Thus, 2/7 of 17 is equal to 34/7 (or 4.8571428571429 in its decimal form).