What is 4/7 of 97?

How to calculate 4/7 of 97?

1. Multiply the whole number by the numerator of the fraction: 97 × 4 = 388
2. Divide this result by denominator of the fraction: 388/7 = 55.428571428571

Since 388/7 is an improper fraction, the result could also be expressed as a mixed number: 55 3/7

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{97}$ (where x represents 4/7 of 97)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 97=7x$
2. Which gives: $388=7x$
3. Divide both sides by 7 to isolate x: $\frac{388}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{388}{7}=x$

Thus, 4/7 of 97 is equal to 388/7 (or 55.428571428571 in its decimal form).