What is 5/7 of 5?

How to calculate 5/7 of 5?

1. Multiply the whole number by the numerator of the fraction: 5 × 5 = 25
2. Divide this result by denominator of the fraction: 25/7 = 3.5714285714286

Since 25/7 is an improper fraction, the result could also be expressed as a mixed number: 3 4/7

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 5=7x$
2. Which gives: $25=7x$
3. Divide both sides by 7 to isolate x: $\frac{25}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{25}{7}=x$

Thus, 5/7 of 5 is equal to 25/7 (or 3.5714285714286 in its decimal form).