What is 4/7 of 2?

How to calculate 4/7 of 2?

1. Multiply the whole number by the numerator of the fraction: 2 × 4 = 8
2. Divide this result by denominator of the fraction: 8/7 = 1.1428571428571

Since 8/7 is an improper fraction, the result could also be expressed as a mixed number: 1 1/7

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 2, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{2}$ (where x represents 4/7 of 2)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 2=7x$
2. Which gives: $8=7x$
3. Divide both sides by 7 to isolate x: $\frac{8}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{8}{7}=x$

Thus, 4/7 of 2 is equal to 8/7 (or 1.1428571428571 in its decimal form).