What is 4/7 of 38?

How to calculate 4/7 of 38?

1. Multiply the whole number by the numerator of the fraction: 38 × 4 = 152
2. Divide this result by denominator of the fraction: 152/7 = 21.714285714286

Since 152/7 is an improper fraction, the result could also be expressed as a mixed number: 21 5/7

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 38, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{38}$ (where x represents 4/7 of 38)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 38=7x$
2. Which gives: $152=7x$
3. Divide both sides by 7 to isolate x: $\frac{152}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{152}{7}=x$

Thus, 4/7 of 38 is equal to 152/7 (or 21.714285714286 in its decimal form).