Respuesta :

Given

[tex]\frac{2}{3}\div\frac{\placeholder{⬚}}{7}=\frac{14}{21}[/tex]

Find

what makes the equation true

Explanation

Let the number be x.

so , the equation becomes

[tex]\frac{2}{3}\div\frac{x}{7}=\frac{14}{17}[/tex]

then , by solving this

[tex]\begin{gathered} \frac{2}{3}\div\frac{x}{7}=\frac{14}{21} \\ \\ \frac{2}{3}\times\frac{7}{x}=\frac{14}{21} \\ \\ \frac{14}{3x}=\frac{14}{21} \\ \\ x=7 \end{gathered}[/tex]

Final Answer

Therefore ,

[tex]\frac{2}{3}\div\frac{7}{7}=\frac{14}{21}[/tex]

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