What is 5/7 of 11?

How to calculate 5/7 of 11?

1. Multiply the whole number by the numerator of the fraction: 11 × 5 = 55
2. Divide this result by denominator of the fraction: 55/7 = 7.8571428571429

Since 55/7 is an improper fraction, the result could also be expressed as a mixed number: 7 6/7

How does it work?

The principle behind finding a fraction of a number, such as 5/7 of 11, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{7}=\frac{x}{11}$ (where x represents 5/7 of 11)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 11=7x$
2. Which gives: $55=7x$
3. Divide both sides by 7 to isolate x: $\frac{55}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{55}{7}=x$

Thus, 5/7 of 11 is equal to 55/7 (or 7.8571428571429 in its decimal form).