What is 10/7 of 47?

How to calculate 10/7 of 47?

1. Multiply the whole number by the numerator of the fraction: 47 × 10 = 470
2. Divide this result by denominator of the fraction: 470/7 = 67.142857142857

Since 470/7 is an improper fraction, the result could also be expressed as a mixed number: 67 1/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 47, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{47}$ (where x represents 10/7 of 47)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 47=7x$
2. Which gives: $470=7x$
3. Divide both sides by 7 to isolate x: $\frac{470}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{470}{7}=x$

Thus, 10/7 of 47 is equal to 470/7 (or 67.142857142857 in its decimal form).