What is 10/7 of 53?

How to calculate 10/7 of 53?

1. Multiply the whole number by the numerator of the fraction: 53 × 10 = 530
2. Divide this result by denominator of the fraction: 530/7 = 75.714285714286

Since 530/7 is an improper fraction, the result could also be expressed as a mixed number: 75 5/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 53, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{53}$ (where x represents 10/7 of 53)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 53=7x$
2. Which gives: $530=7x$
3. Divide both sides by 7 to isolate x: $\frac{530}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{530}{7}=x$

Thus, 10/7 of 53 is equal to 530/7 (or 75.714285714286 in its decimal form).