What is 1/7 of 4?

How to calculate 1/7 of 4?

1. Multiply the whole number by the numerator of the fraction: 4 × 1 = 4
2. Divide this result by denominator of the fraction: 4/7 = 0.57142857142857

How does it work?

The principle behind finding a fraction of a number, such as 1/7 of 4, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{7}=\frac{x}{4}$ (where x represents 1/7 of 4)

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

Thus, 1/7 of 4 is equal to 4/7 (or 0.57142857142857 in its decimal form).