What is 3/7 of 94?

How to calculate 3/7 of 94?

1. Multiply the whole number by the numerator of the fraction: 94 × 3 = 282
2. Divide this result by denominator of the fraction: 282/7 = 40.285714285714

Since 282/7 is an improper fraction, the result could also be expressed as a mixed number: 40 2/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 94, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{94}$ (where x represents 3/7 of 94)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 94=7x$
2. Which gives: $282=7x$
3. Divide both sides by 7 to isolate x: $\frac{282}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{282}{7}=x$

Thus, 3/7 of 94 is equal to 282/7 (or 40.285714285714 in its decimal form).