What is 6/6 of 83?

How to calculate 6/6 of 83?

1. Multiply the whole number by the numerator of the fraction: 83 × 6 = 498
2. Divide this result by denominator of the fraction: 498/6 = 83
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 498/6 = 83
   • 6/6 = 1
4. Which gives: 83/1

How does it work?

The principle behind finding a fraction of a number, such as 6/6 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{6}=\frac{x}{83}$ (where x represents 6/6 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 83=6x$
2. Which gives: $498=6x$
3. Divide both sides by 6 to isolate x: $\frac{498}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{498}{6}=x$ (or $\frac{83}{1}=x$)

Thus, 6/6 of 83 is equal to 83/1 (or 83 in its decimal form).