What is 4/7 of 74?

How to calculate 4/7 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 4 = 296
2. Divide this result by denominator of the fraction: 296/7 = 42.285714285714

Since 296/7 is an improper fraction, the result could also be expressed as a mixed number: 42 2/7

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{74}$ (where x represents 4/7 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 74=7x$
2. Which gives: $296=7x$
3. Divide both sides by 7 to isolate x: $\frac{296}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{296}{7}=x$

Thus, 4/7 of 74 is equal to 296/7 (or 42.285714285714 in its decimal form).