What is 4/4 of 83?

How to calculate 4/4 of 83?

1. Multiply the whole number by the numerator of the fraction: 83 × 4 = 332
2. Divide this result by denominator of the fraction: 332/4 = 83
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 332/4 = 83
   • 4/4 = 1
4. Which gives: 83/1

How does it work?

The principle behind finding a fraction of a number, such as 4/4 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{4}=\frac{x}{83}$ (where x represents 4/4 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 83=4x$
2. Which gives: $332=4x$
3. Divide both sides by 4 to isolate x: $\frac{332}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{332}{4}=x$ (or $\frac{83}{1}=x$)

Thus, 4/4 of 83 is equal to 83/1 (or 83 in its decimal form).