The tape diagram illustrates that 3/5 divided by 2/3 is equal to 4/3.
Label the dividend and divisor: Draw two rectangles, one for the dividend (3/5) and one for the divisor (2/3).
Divide the dividend rectangle into fifths: Divide the dividend rectangle into five equal sections, representing the 5 in the denominator of 3/5. Shade 3 of these sections to represent the 3 in the numerator of 3/5.
Divide the divisor rectangle into thirds: Divide the divisor rectangle into three equal sections, representing the 3 in the denominator of 2/3.
Connect the shaded portions: Draw a diagonal line from the top left corner of the shaded portion of the dividend rectangle to the bottom right corner of the shaded portion of the divisor rectangle.
Count the segments: The number of segments along the diagonal line represents the quotient. In this case, there are 4 segments, representing a quotient of 4/3.
Therefore, the tape diagram illustrates that 3/5 divided by 2/3 is equal to 4/3.