What is 6/7 of 33?

How to calculate 6/7 of 33?

1. Multiply the whole number by the numerator of the fraction: 33 × 6 = 198
2. Divide this result by denominator of the fraction: 198/7 = 28.285714285714

Since 198/7 is an improper fraction, the result could also be expressed as a mixed number: 28 2/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 33, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{33}$ (where x represents 6/7 of 33)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 33=7x$
2. Which gives: $198=7x$
3. Divide both sides by 7 to isolate x: $\frac{198}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{198}{7}=x$

Thus, 6/7 of 33 is equal to 198/7 (or 28.285714285714 in its decimal form).