What is 1/7 of 6?

How to calculate 1/7 of 6?

1. Multiply the whole number by the numerator of the fraction: 6 × 1 = 6
2. Divide this result by denominator of the fraction: 6/7 = 0.85714285714286

How does it work?

The principle behind finding a fraction of a number, such as 1/7 of 6, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{7}=\frac{x}{6}$ (where x represents 1/7 of 6)

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

Thus, 1/7 of 6 is equal to 6/7 (or 0.85714285714286 in its decimal form).