What is 6/7 of 78?

How to calculate 6/7 of 78?

1. Multiply the whole number by the numerator of the fraction: 78 × 6 = 468
2. Divide this result by denominator of the fraction: 468/7 = 66.857142857143

Since 468/7 is an improper fraction, the result could also be expressed as a mixed number: 66 6/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 78, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{78}$ (where x represents 6/7 of 78)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 78=7x$
2. Which gives: $468=7x$
3. Divide both sides by 7 to isolate x: $\frac{468}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{468}{7}=x$

Thus, 6/7 of 78 is equal to 468/7 (or 66.857142857143 in its decimal form).