What is 2/7 of 69?

How to calculate 2/7 of 69?

1. Multiply the whole number by the numerator of the fraction: 69 × 2 = 138
2. Divide this result by denominator of the fraction: 138/7 = 19.714285714286

Since 138/7 is an improper fraction, the result could also be expressed as a mixed number: 19 5/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{69}$ (where x represents 2/7 of 69)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 69=7x$
2. Which gives: $138=7x$
3. Divide both sides by 7 to isolate x: $\frac{138}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{138}{7}=x$

Thus, 2/7 of 69 is equal to 138/7 (or 19.714285714286 in its decimal form).