What is 8/7 of 55?

How to calculate 8/7 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 8 = 440
2. Divide this result by denominator of the fraction: 440/7 = 62.857142857143

Since 440/7 is an improper fraction, the result could also be expressed as a mixed number: 62 6/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{55}$ (where x represents 8/7 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 55=7x$
2. Which gives: $440=7x$
3. Divide both sides by 7 to isolate x: $\frac{440}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{440}{7}=x$

Thus, 8/7 of 55 is equal to 440/7 (or 62.857142857143 in its decimal form).