What is 1/7 of 16?

How to calculate 1/7 of 16?

1. Multiply the whole number by the numerator of the fraction: 16 × 1 = 16
2. Divide this result by denominator of the fraction: 16/7 = 2.2857142857143

Since 16/7 is an improper fraction, the result could also be expressed as a mixed number: 2 2/7

How does it work?

The principle behind finding a fraction of a number, such as 1/7 of 16, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{7}=\frac{x}{16}$ (where x represents 1/7 of 16)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 16=7x$
2. Which gives: $16=7x$
3. Divide both sides by 7 to isolate x: $\frac{16}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{16}{7}=x$

Thus, 1/7 of 16 is equal to 16/7 (or 2.2857142857143 in its decimal form).