What is 4/7 of 33?

How to calculate 4/7 of 33?

1. Multiply the whole number by the numerator of the fraction: 33 × 4 = 132
2. Divide this result by denominator of the fraction: 132/7 = 18.857142857143

Since 132/7 is an improper fraction, the result could also be expressed as a mixed number: 18 6/7

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 33, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{33}$ (where x represents 4/7 of 33)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 33=7x$
2. Which gives: $132=7x$
3. Divide both sides by 7 to isolate x: $\frac{132}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{132}{7}=x$

Thus, 4/7 of 33 is equal to 132/7 (or 18.857142857143 in its decimal form).