Respuesta :

Answer:

see the explanation

Step-by-step explanation:

we know that

A tape diagram is a visual model that looks like a segment of tape and is used for representing number relationships and word problems

we have that

[tex]5(\frac{2}{3})=\frac{10}{3}[/tex]

The expression [tex]5(\frac{2}{3})[/tex]  can be thought of as" five groups of two-thirds"

see the attached figure N 1

so

[tex]5(\frac{2}{3})=\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}=\frac{10}{3}[/tex]

Another way to solve

The expression [tex]5(\frac{2}{3})[/tex]  can be thought of as" ten groups of one-thirds"

see the attached figure N 2

so

[tex]5(\frac{2}{3})=\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{10}{3}[/tex]

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