Question

write an equation to represent the image.
the tape diagram represents an equation.

Explanation:

Step1: Analyze the tape diagram

The left tape is labeled $\frac{2}{3}$, and the right tape is composed of two parts: $\frac{1}{4}$ and $m$. Since the two tapes are equal in length (from the diagram's representation), we can set up an equation where the sum of the parts of the right tape equals the length of the left tape.

Step2: Set up the equation

The right tape's total length is $\frac{1}{4} + m$, and this should equal the left tape's length $\frac{2}{3}$. So the equation is $\frac{1}{4} + m = \frac{2}{3}$.

Answer:

$\frac{1}{4} + m = \frac{2}{3}$