What is 10/7 of 74?

How to calculate 10/7 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 10 = 740
2. Divide this result by denominator of the fraction: 740/7 = 105.71428571429

Since 740/7 is an improper fraction, the result could also be expressed as a mixed number: 105 5/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{74}$ (where x represents 10/7 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 74=7x$
2. Which gives: $740=7x$
3. Divide both sides by 7 to isolate x: $\frac{740}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{740}{7}=x$

Thus, 10/7 of 74 is equal to 740/7 (or 105.71428571429 in its decimal form).