What is 2/7 of 26?

How to calculate 2/7 of 26?

1. Multiply the whole number by the numerator of the fraction: 26 × 2 = 52
2. Divide this result by denominator of the fraction: 52/7 = 7.4285714285714

Since 52/7 is an improper fraction, the result could also be expressed as a mixed number: 7 3/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{26}$ (where x represents 2/7 of 26)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 26=7x$
2. Which gives: $52=7x$
3. Divide both sides by 7 to isolate x: $\frac{52}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{52}{7}=x$

Thus, 2/7 of 26 is equal to 52/7 (or 7.4285714285714 in its decimal form).