What is 2/7 of 95?

How to calculate 2/7 of 95?

1. Multiply the whole number by the numerator of the fraction: 95 × 2 = 190
2. Divide this result by denominator of the fraction: 190/7 = 27.142857142857

Since 190/7 is an improper fraction, the result could also be expressed as a mixed number: 27 1/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 95, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{95}$ (where x represents 2/7 of 95)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 95=7x$
2. Which gives: $190=7x$
3. Divide both sides by 7 to isolate x: $\frac{190}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{190}{7}=x$

Thus, 2/7 of 95 is equal to 190/7 (or 27.142857142857 in its decimal form).