What is 10/7 of 39?

How to calculate 10/7 of 39?

1. Multiply the whole number by the numerator of the fraction: 39 × 10 = 390
2. Divide this result by denominator of the fraction: 390/7 = 55.714285714286

Since 390/7 is an improper fraction, the result could also be expressed as a mixed number: 55 5/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 39, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{39}$ (where x represents 10/7 of 39)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 39=7x$
2. Which gives: $390=7x$
3. Divide both sides by 7 to isolate x: $\frac{390}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{390}{7}=x$

Thus, 10/7 of 39 is equal to 390/7 (or 55.714285714286 in its decimal form).