What is 3/7 of 6?

How to calculate 3/7 of 6?

1. Multiply the whole number by the numerator of the fraction: 6 × 3 = 18
2. Divide this result by denominator of the fraction: 18/7 = 2.5714285714286

Since 18/7 is an improper fraction, the result could also be expressed as a mixed number: 2 4/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 6, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{6}$ (where x represents 3/7 of 6)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 6=7x$
2. Which gives: $18=7x$
3. Divide both sides by 7 to isolate x: $\frac{18}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{18}{7}=x$

Thus, 3/7 of 6 is equal to 18/7 (or 2.5714285714286 in its decimal form).