What is 2/7 of 73?

How to calculate 2/7 of 73?

1. Multiply the whole number by the numerator of the fraction: 73 × 2 = 146
2. Divide this result by denominator of the fraction: 146/7 = 20.857142857143

Since 146/7 is an improper fraction, the result could also be expressed as a mixed number: 20 6/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 73, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{73}$ (where x represents 2/7 of 73)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 73=7x$
2. Which gives: $146=7x$
3. Divide both sides by 7 to isolate x: $\frac{146}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{146}{7}=x$

Thus, 2/7 of 73 is equal to 146/7 (or 20.857142857143 in its decimal form).