What is 5/7 of 6?

How to calculate 5/7 of 6?

1. Multiply the whole number by the numerator of the fraction: 6 × 5 = 30
2. Divide this result by denominator of the fraction: 30/7 = 4.2857142857143

Since 30/7 is an improper fraction, the result could also be expressed as a mixed number: 4 2/7

How does it work?

The principle behind finding a fraction of a number, such as 5/7 of 6, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{7}=\frac{x}{6}$ (where x represents 5/7 of 6)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 6=7x$
2. Which gives: $30=7x$
3. Divide both sides by 7 to isolate x: $\frac{30}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{30}{7}=x$

Thus, 5/7 of 6 is equal to 30/7 (or 4.2857142857143 in its decimal form).