What is 10/7 of 19?

How to calculate 10/7 of 19?

1. Multiply the whole number by the numerator of the fraction: 19 × 10 = 190
2. Divide this result by denominator of the fraction: 190/7 = 27.142857142857

Since 190/7 is an improper fraction, the result could also be expressed as a mixed number: 27 1/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 19, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{19}$ (where x represents 10/7 of 19)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 19=7x$
2. Which gives: $190=7x$
3. Divide both sides by 7 to isolate x: $\frac{190}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{190}{7}=x$

Thus, 10/7 of 19 is equal to 190/7 (or 27.142857142857 in its decimal form).