A tape diagram is used to represent the pictorial model of the mathematical expressions to understand the concept better.the equation for the given tape diagram is,
[tex]m=\dfrac{2}{3} -\dfrac{1}{4} [/tex]
The solution of the tape diagram for m is 5/12.
Given information-
The tape diagram is shown in the image. This diagram consist three boxes. Now we have to find out the equation of this pictorial model. To know this better the tape diagram should be cleared first.
Tape diagram
Tape diagrams represents the equation in a model. A tape diagram is used to represent the pictorial model of the mathematical expressions to understand the concept better.
In the given tape diagram the first two box is equal to the box shown below the two boxes. Thus the area of the first two rectangle should be equal to the area of the third big one rectangle.
Thus it can be tell that the value of the first two rectangle is equal to the third rectangle as they are the part of the the third big triangle.
Hence the value of the part 2/3 is equal to the sum of the part 1/4 and m.Thus,
[tex]\dfrac{1}{4} +m=\dfrac{2}{3} [/tex]
Rewrite the equation,
[tex]m=\dfrac{2}{3} -\dfrac{1}{4} [/tex]
[tex]m=\dfrac{8-3}{12} [/tex]
[tex]m=\dfrac{5}{12} [/tex]
hence the equation for the given tape diagram is,
[tex]m=\dfrac{2}{3} -\dfrac{1}{4} [/tex]
The solution of the tape diagram for m is 5/12.
Learn more about the tape diagram here;
https://brainly.com/question/9514272
