What is 2/7 of 34?

How to calculate 2/7 of 34?

1. Multiply the whole number by the numerator of the fraction: 34 × 2 = 68
2. Divide this result by denominator of the fraction: 68/7 = 9.7142857142857

Since 68/7 is an improper fraction, the result could also be expressed as a mixed number: 9 5/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{34}$ (where x represents 2/7 of 34)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 34=7x$
2. Which gives: $68=7x$
3. Divide both sides by 7 to isolate x: $\frac{68}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{68}{7}=x$

Thus, 2/7 of 34 is equal to 68/7 (or 9.7142857142857 in its decimal form).