What is 10/7 of 26?

How to calculate 10/7 of 26?

1. Multiply the whole number by the numerator of the fraction: 26 × 10 = 260
2. Divide this result by denominator of the fraction: 260/7 = 37.142857142857

Since 260/7 is an improper fraction, the result could also be expressed as a mixed number: 37 1/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{26}$ (where x represents 10/7 of 26)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 26=7x$
2. Which gives: $260=7x$
3. Divide both sides by 7 to isolate x: $\frac{260}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{260}{7}=x$

Thus, 10/7 of 26 is equal to 260/7 (or 37.142857142857 in its decimal form).