What is 10/6 of 66?

How to calculate 10/6 of 66?

1. Multiply the whole number by the numerator of the fraction: 66 × 10 = 660
2. Divide this result by denominator of the fraction: 660/6 = 110
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 660/6 = 110
   • 6/6 = 1
4. Which gives: 110/1

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 66, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{66}$ (where x represents 10/6 of 66)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 66=6x$
2. Which gives: $660=6x$
3. Divide both sides by 6 to isolate x: $\frac{660}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{660}{6}=x$ (or $\frac{110}{1}=x$)

Thus, 10/6 of 66 is equal to 110/1 (or 110 in its decimal form).