What is 6/6 of 45?

How to calculate 6/6 of 45?

1. Multiply the whole number by the numerator of the fraction: 45 × 6 = 270
2. Divide this result by denominator of the fraction: 270/6 = 45
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 270/6 = 45
   • 6/6 = 1
4. Which gives: 45/1

How does it work?

The principle behind finding a fraction of a number, such as 6/6 of 45, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{6}=\frac{x}{45}$ (where x represents 6/6 of 45)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 45=6x$
2. Which gives: $270=6x$
3. Divide both sides by 6 to isolate x: $\frac{270}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{270}{6}=x$ (or $\frac{45}{1}=x$)

Thus, 6/6 of 45 is equal to 45/1 (or 45 in its decimal form).