What is 2/7 of 61?

How to calculate 2/7 of 61?

1. Multiply the whole number by the numerator of the fraction: 61 × 2 = 122
2. Divide this result by denominator of the fraction: 122/7 = 17.428571428571

Since 122/7 is an improper fraction, the result could also be expressed as a mixed number: 17 3/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 61, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{61}$ (where x represents 2/7 of 61)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 61=7x$
2. Which gives: $122=7x$
3. Divide both sides by 7 to isolate x: $\frac{122}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{122}{7}=x$

Thus, 2/7 of 61 is equal to 122/7 (or 17.428571428571 in its decimal form).