What is 8/7 of 13?

How to calculate 8/7 of 13?

1. Multiply the whole number by the numerator of the fraction: 13 × 8 = 104
2. Divide this result by denominator of the fraction: 104/7 = 14.857142857143

Since 104/7 is an improper fraction, the result could also be expressed as a mixed number: 14 6/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 13, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{13}$ (where x represents 8/7 of 13)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 13=7x$
2. Which gives: $104=7x$
3. Divide both sides by 7 to isolate x: $\frac{104}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{104}{7}=x$

Thus, 8/7 of 13 is equal to 104/7 (or 14.857142857143 in its decimal form).