What is 6/7 of 91?

How to calculate 6/7 of 91?

1. Multiply the whole number by the numerator of the fraction: 91 × 6 = 546
2. Divide this result by denominator of the fraction: 546/7 = 78
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 546/7 = 78
   • 7/7 = 1
4. Which gives: 78/1

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 91, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{91}$ (where x represents 6/7 of 91)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 91=7x$
2. Which gives: $546=7x$
3. Divide both sides by 7 to isolate x: $\frac{546}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{546}{7}=x$ (or $\frac{78}{1}=x$)

Thus, 6/7 of 91 is equal to 78/1 (or 78 in its decimal form).