What is 6/7 of 76?

How to calculate 6/7 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 6 = 456
2. Divide this result by denominator of the fraction: 456/7 = 65.142857142857

Since 456/7 is an improper fraction, the result could also be expressed as a mixed number: 65 1/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{76}$ (where x represents 6/7 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 76=7x$
2. Which gives: $456=7x$
3. Divide both sides by 7 to isolate x: $\frac{456}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{456}{7}=x$

Thus, 6/7 of 76 is equal to 456/7 (or 65.142857142857 in its decimal form).