What is 2/7 of 55?

How to calculate 2/7 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 2 = 110
2. Divide this result by denominator of the fraction: 110/7 = 15.714285714286

Since 110/7 is an improper fraction, the result could also be expressed as a mixed number: 15 5/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{55}$ (where x represents 2/7 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 55=7x$
2. Which gives: $110=7x$
3. Divide both sides by 7 to isolate x: $\frac{110}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{110}{7}=x$

Thus, 2/7 of 55 is equal to 110/7 (or 15.714285714286 in its decimal form).