What is 10/7 of 73?

How to calculate 10/7 of 73?

1. Multiply the whole number by the numerator of the fraction: 73 × 10 = 730
2. Divide this result by denominator of the fraction: 730/7 = 104.28571428571

Since 730/7 is an improper fraction, the result could also be expressed as a mixed number: 104 2/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 73, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{73}$ (where x represents 10/7 of 73)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 73=7x$
2. Which gives: $730=7x$
3. Divide both sides by 7 to isolate x: $\frac{730}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{730}{7}=x$

Thus, 10/7 of 73 is equal to 730/7 (or 104.28571428571 in its decimal form).