What is 3/7 of 38?

How to calculate 3/7 of 38?

1. Multiply the whole number by the numerator of the fraction: 38 × 3 = 114
2. Divide this result by denominator of the fraction: 114/7 = 16.285714285714

Since 114/7 is an improper fraction, the result could also be expressed as a mixed number: 16 2/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 38, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{38}$ (where x represents 3/7 of 38)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 38=7x$
2. Which gives: $114=7x$
3. Divide both sides by 7 to isolate x: $\frac{114}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{114}{7}=x$

Thus, 3/7 of 38 is equal to 114/7 (or 16.285714285714 in its decimal form).