What is 2/7 of 16?

How to calculate 2/7 of 16?

1. Multiply the whole number by the numerator of the fraction: 16 × 2 = 32
2. Divide this result by denominator of the fraction: 32/7 = 4.5714285714286

Since 32/7 is an improper fraction, the result could also be expressed as a mixed number: 4 4/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 16, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{16}$ (where x represents 2/7 of 16)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 16=7x$
2. Which gives: $32=7x$
3. Divide both sides by 7 to isolate x: $\frac{32}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{32}{7}=x$

Thus, 2/7 of 16 is equal to 32/7 (or 4.5714285714286 in its decimal form).