Respuesta :

[tex]Hello[/tex] [tex]There![/tex]

Let's do this step-by-step explanation!

[tex]\frac{2}{3}[/tex] × [tex]7 \frac{2}{6}[/tex]

Convert mixed numbers to improper fractions: [tex]7 \frac{2}{6} =\frac{44}{6}[/tex]

[tex]=\frac{2}{3}[/tex] × [tex]\frac{44}{6}[/tex]

Cancel: [tex]\frac{44}{6} :\frac{22}{3}[/tex]

[tex]=\frac{2}{3}[/tex] × [tex]\frac{22}{3}[/tex]

Apply the fraction rule:

[tex]2[/tex] × [tex]22[/tex]

[tex]3[/tex] × [tex]3[/tex]

Mutiply the numbers: [tex]2[/tex] × [tex]22[/tex] [tex]=44[/tex]

[tex]44[/tex]

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[tex]3[/tex] × [tex]3[/tex]

Mutiply  the numbers: [tex]3[/tex] × [tex]3=9[/tex]

[tex]=\frac{44}{9}[/tex]

Convert the fractions into mixed numbers: [tex]=\frac{44}{9} = 4\frac{8}{9}[/tex]

[tex]=4\frac{8}{9}[/tex]

Answer:

[tex]4\frac{8}{9}[/tex]

Hopefully, this helps you!!

[tex]SokkaBanned[/tex]

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