What is 6/7 of 74?

How to calculate 6/7 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 6 = 444
2. Divide this result by denominator of the fraction: 444/7 = 63.428571428571

Since 444/7 is an improper fraction, the result could also be expressed as a mixed number: 63 3/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{74}$ (where x represents 6/7 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 74=7x$
2. Which gives: $444=7x$
3. Divide both sides by 7 to isolate x: $\frac{444}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{444}{7}=x$

Thus, 6/7 of 74 is equal to 444/7 (or 63.428571428571 in its decimal form).