What is 5/7 of 74?

How to calculate 5/7 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 5 = 370
2. Divide this result by denominator of the fraction: 370/7 = 52.857142857143

Since 370/7 is an improper fraction, the result could also be expressed as a mixed number: 52 6/7

How does it work?

The principle behind finding a fraction of a number, such as 5/7 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{7}=\frac{x}{74}$ (where x represents 5/7 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 74=7x$
2. Which gives: $370=7x$
3. Divide both sides by 7 to isolate x: $\frac{370}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{370}{7}=x$

Thus, 5/7 of 74 is equal to 370/7 (or 52.857142857143 in its decimal form).