Respuesta :

[tex]7\dfrac{5}{6} \cdot6\dfrac{6}{7} =\dfrac{6\cdot7+5}{6}\cdot \dfrac{7\cdot6+6}{7}=\dfrac{42+5}{6}\cdot \dfrac{42+6}{7}=\\\\\\=\dfrac{47}{\not6_{1}}\cdot \dfrac{\not48^{8}}{7}=\dfrac{47\cdot8}{7} =\dfrac{376}{7} =53\dfrac{5}{7}[/tex]

Answer:

[tex]47\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]\\\\7\frac{5}{6} *6\frac{6}{7} =(6*6+7*\frac{6}{7} )+(\frac{5}{6} *6+\frac{5}{6} *\frac{6}{7} )\\\\= (36 + 6)+(5+\frac{5}{7} )\\\\=42+5+\frac{5}{7} \\ = 47\frac{5}{7}[/tex]

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