What is 3/7 of 89?

How to calculate 3/7 of 89?

1. Multiply the whole number by the numerator of the fraction: 89 × 3 = 267
2. Divide this result by denominator of the fraction: 267/7 = 38.142857142857

Since 267/7 is an improper fraction, the result could also be expressed as a mixed number: 38 1/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 89, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{89}$ (where x represents 3/7 of 89)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 89=7x$
2. Which gives: $267=7x$
3. Divide both sides by 7 to isolate x: $\frac{267}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{267}{7}=x$

Thus, 3/7 of 89 is equal to 267/7 (or 38.142857142857 in its decimal form).