What is 3/7 of 83?

How to calculate 3/7 of 83?

1. Multiply the whole number by the numerator of the fraction: 83 × 3 = 249
2. Divide this result by denominator of the fraction: 249/7 = 35.571428571429

Since 249/7 is an improper fraction, the result could also be expressed as a mixed number: 35 4/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{83}$ (where x represents 3/7 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 83=7x$
2. Which gives: $249=7x$
3. Divide both sides by 7 to isolate x: $\frac{249}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{249}{7}=x$

Thus, 3/7 of 83 is equal to 249/7 (or 35.571428571429 in its decimal form).