What is 10/7 of 3?

How to calculate 10/7 of 3?

1. Multiply the whole number by the numerator of the fraction: 3 × 10 = 30
2. Divide this result by denominator of the fraction: 30/7 = 4.2857142857143

Since 30/7 is an improper fraction, the result could also be expressed as a mixed number: 4 2/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 3, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{3}$ (where x represents 10/7 of 3)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 3=7x$
2. Which gives: $30=7x$
3. Divide both sides by 7 to isolate x: $\frac{30}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{30}{7}=x$

Thus, 10/7 of 3 is equal to 30/7 (or 4.2857142857143 in its decimal form).