What is 6/7 of 55?

How to calculate 6/7 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 6 = 330
2. Divide this result by denominator of the fraction: 330/7 = 47.142857142857

Since 330/7 is an improper fraction, the result could also be expressed as a mixed number: 47 1/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{55}$ (where x represents 6/7 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 55=7x$
2. Which gives: $330=7x$
3. Divide both sides by 7 to isolate x: $\frac{330}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{330}{7}=x$

Thus, 6/7 of 55 is equal to 330/7 (or 47.142857142857 in its decimal form).