What is 5/7 of 55?

How to calculate 5/7 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 5 = 275
2. Divide this result by denominator of the fraction: 275/7 = 39.285714285714

Since 275/7 is an improper fraction, the result could also be expressed as a mixed number: 39 2/7

How does it work?

The principle behind finding a fraction of a number, such as 5/7 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{7}=\frac{x}{55}$ (where x represents 5/7 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 55=7x$
2. Which gives: $275=7x$
3. Divide both sides by 7 to isolate x: $\frac{275}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{275}{7}=x$

Thus, 5/7 of 55 is equal to 275/7 (or 39.285714285714 in its decimal form).