What is 2/7 of 94?

How to calculate 2/7 of 94?

1. Multiply the whole number by the numerator of the fraction: 94 × 2 = 188
2. Divide this result by denominator of the fraction: 188/7 = 26.857142857143

Since 188/7 is an improper fraction, the result could also be expressed as a mixed number: 26 6/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 94, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{94}$ (where x represents 2/7 of 94)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 94=7x$
2. Which gives: $188=7x$
3. Divide both sides by 7 to isolate x: $\frac{188}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{188}{7}=x$

Thus, 2/7 of 94 is equal to 188/7 (or 26.857142857143 in its decimal form).