What is 6/8 of 66?

How to calculate 6/8 of 66?

1. Multiply the whole number by the numerator of the fraction: 66 × 6 = 396
2. Divide this result by denominator of the fraction: 396/8 = 49.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 396/4 = 99
   • 8/4 = 2
4. Which gives: 99/2

Since 99/2 is an improper fraction, the result could also be expressed as a mixed number: 49 1/2

How does it work?

The principle behind finding a fraction of a number, such as 6/8 of 66, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{8}=\frac{x}{66}$ (where x represents 6/8 of 66)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 66=8x$
2. Which gives: $396=8x$
3. Divide both sides by 8 to isolate x: $\frac{396}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{396}{8}=x$ (or $\frac{99}{2}=x$)

Thus, 6/8 of 66 is equal to 99/2 (or 49.5 in its decimal form).