What is 3/7 of 9?

How to calculate 3/7 of 9?

1. Multiply the whole number by the numerator of the fraction: 9 × 3 = 27
2. Divide this result by denominator of the fraction: 27/7 = 3.8571428571429

Since 27/7 is an improper fraction, the result could also be expressed as a mixed number: 3 6/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 9, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{9}$ (where x represents 3/7 of 9)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 9=7x$
2. Which gives: $27=7x$
3. Divide both sides by 7 to isolate x: $\frac{27}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{27}{7}=x$

Thus, 3/7 of 9 is equal to 27/7 (or 3.8571428571429 in its decimal form).