What is 8/6 of 69?

How to calculate 8/6 of 69?

1. Multiply the whole number by the numerator of the fraction: 69 × 8 = 552
2. Divide this result by denominator of the fraction: 552/6 = 92
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 552/6 = 92
   • 6/6 = 1
4. Which gives: 92/1

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{6}=\frac{x}{69}$ (where x represents 8/6 of 69)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 69=6x$
2. Which gives: $552=6x$
3. Divide both sides by 6 to isolate x: $\frac{552}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{552}{6}=x$ (or $\frac{92}{1}=x$)

Thus, 8/6 of 69 is equal to 92/1 (or 92 in its decimal form).