What is 6/7 of 30?

How to calculate 6/7 of 30?

1. Multiply the whole number by the numerator of the fraction: 30 × 6 = 180
2. Divide this result by denominator of the fraction: 180/7 = 25.714285714286

Since 180/7 is an improper fraction, the result could also be expressed as a mixed number: 25 5/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 30, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{30}$ (where x represents 6/7 of 30)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 30=7x$
2. Which gives: $180=7x$
3. Divide both sides by 7 to isolate x: $\frac{180}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{180}{7}=x$

Thus, 6/7 of 30 is equal to 180/7 (or 25.714285714286 in its decimal form).