Write an improper fraction and a mixed number to represent the shaded portion

Explanation

We will determine the number of equal parts into which a box is divided.  Then we will determine how many of those parts are shaded and how many of the whole boxes are shaded.

To write an improper fraction, we need to find its numerator and its denominator.  To write a mixed number, we need to find its whole number part and its fractional part.

Since each box is divided into 5 equal parts the denominator of the improper fraction is 5.  Since a total of 11 of those parts are shaded, the numerator is 11, and we say that.

\(\frac{11}{5}\) is shaded.  Write: \(\frac{\text{total number of parts shaded}}{\text{number of equal parts in one disk}}\)

Since 2 whole boxes are shaded, the whole number part of the mixed number is 2.  Since 1 out of 5 of the parts of the last box is shaded, the fractional part of the mixed number is \(\frac15\), and we say that \(2\frac15\) is shaded.