What is 3/7 of 15?

How to calculate 3/7 of 15?

1. Multiply the whole number by the numerator of the fraction: 15 × 3 = 45
2. Divide this result by denominator of the fraction: 45/7 = 6.4285714285714

Since 45/7 is an improper fraction, the result could also be expressed as a mixed number: 6 3/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 15, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{15}$ (where x represents 3/7 of 15)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 15=7x$
2. Which gives: $45=7x$
3. Divide both sides by 7 to isolate x: $\frac{45}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{45}{7}=x$

Thus, 3/7 of 15 is equal to 45/7 (or 6.4285714285714 in its decimal form).