What is 3/7 of 99?

How to calculate 3/7 of 99?

1. Multiply the whole number by the numerator of the fraction: 99 × 3 = 297
2. Divide this result by denominator of the fraction: 297/7 = 42.428571428571

Since 297/7 is an improper fraction, the result could also be expressed as a mixed number: 42 3/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{99}$ (where x represents 3/7 of 99)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 99=7x$
2. Which gives: $297=7x$
3. Divide both sides by 7 to isolate x: $\frac{297}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{297}{7}=x$

Thus, 3/7 of 99 is equal to 297/7 (or 42.428571428571 in its decimal form).