The fraction equivalent to the image of the rectangle with 3 out of 7 equal parts shaded is 3/7. Each piece represents a unit fraction out of the total number of pieces.
If a rectangle is divided into 7 equal pieces and 3 of them are shaded, the fraction that represents the shaded part is 3/7. To find this, we consider each piece of the rectangle as one unit of a total of seven units. Since three pieces are shaded, this is equivalent to 3 out of a total of 7, hence the fraction 3/7.
This is similar to dividing a pie into seven equal slices and taking three for yourself, leaving four. Whether it's pie or a rectangle, the concept of fractions remains consistent and allows for the comparison of parts to wholes.