What is 3/7 of 75?

How to calculate 3/7 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 3 = 225
2. Divide this result by denominator of the fraction: 225/7 = 32.142857142857

Since 225/7 is an improper fraction, the result could also be expressed as a mixed number: 32 1/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{75}$ (where x represents 3/7 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 75=7x$
2. Which gives: $225=7x$
3. Divide both sides by 7 to isolate x: $\frac{225}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{225}{7}=x$

Thus, 3/7 of 75 is equal to 225/7 (or 32.142857142857 in its decimal form).