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]