What is 4/6 of 83?

How to calculate 4/6 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: 332/6 = 55.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 332/2 = 166
   • 6/2 = 3
4. Which gives: 166/3

Since 166/3 is an improper fraction, the result could also be expressed as a mixed number: 55 1/3

How does it work?

The principle behind finding a fraction of a number, such as 4/6 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{6}=\frac{x}{83}$ (where x represents 4/6 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 83=6x$
2. Which gives: $332=6x$
3. Divide both sides by 6 to isolate x: $\frac{332}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{332}{6}=x$ (or $\frac{166}{3}=x$)

Thus, 4/6 of 83 is equal to 166/3 (or 55.333333333333 in its decimal form).