What is 8/6 of 87?

How to calculate 8/6 of 87?

1. Multiply the whole number by the numerator of the fraction: 87 × 8 = 696
2. Divide this result by denominator of the fraction: 696/6 = 116
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 696/6 = 116
   • 6/6 = 1
4. Which gives: 116/1

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 87, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{6}=\frac{x}{87}$ (where x represents 8/6 of 87)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 87=6x$
2. Which gives: $696=6x$
3. Divide both sides by 6 to isolate x: $\frac{696}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{696}{6}=x$ (or $\frac{116}{1}=x$)

Thus, 8/6 of 87 is equal to 116/1 (or 116 in its decimal form).