What is 2/7 of 36?

How to calculate 2/7 of 36?

1. Multiply the whole number by the numerator of the fraction: 36 × 2 = 72
2. Divide this result by denominator of the fraction: 72/7 = 10.285714285714

Since 72/7 is an improper fraction, the result could also be expressed as a mixed number: 10 2/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 36, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{36}$ (where x represents 2/7 of 36)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 36=7x$
2. Which gives: $72=7x$
3. Divide both sides by 7 to isolate x: $\frac{72}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{72}{7}=x$

Thus, 2/7 of 36 is equal to 72/7 (or 10.285714285714 in its decimal form).