What is 5/7 of 3?

How to calculate 5/7 of 3?

1. Multiply the whole number by the numerator of the fraction: 3 × 5 = 15
2. Divide this result by denominator of the fraction: 15/7 = 2.1428571428571

Since 15/7 is an improper fraction, the result could also be expressed as a mixed number: 2 1/7

How does it work?

The principle behind finding a fraction of a number, such as 5/7 of 3, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{7}=\frac{x}{3}$ (where x represents 5/7 of 3)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 3=7x$
2. Which gives: $15=7x$
3. Divide both sides by 7 to isolate x: $\frac{15}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{15}{7}=x$

Thus, 5/7 of 3 is equal to 15/7 (or 2.1428571428571 in its decimal form).