What is 8/7 of 69?

How to calculate 8/7 of 69?

1. Multiply the whole number by the numerator of the fraction: 69 × 8 = 552
2. Divide this result by denominator of the fraction: 552/7 = 78.857142857143

Since 552/7 is an improper fraction, the result could also be expressed as a mixed number: 78 6/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{69}$ (where x represents 8/7 of 69)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 69=7x$
2. Which gives: $552=7x$
3. Divide both sides by 7 to isolate x: $\frac{552}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{552}{7}=x$

Thus, 8/7 of 69 is equal to 552/7 (or 78.857142857143 in its decimal form).