Respuesta :

wegnerkolmp2741o

Answer:

7 1/30

Step-by-step explanation:

4 1/5 + 2 5/6

Get a common denominator of 30

4 1/4 = 4 1/5*6/6 = 4 6/30

2 5/6 *5/5 = 2 25/30

4 6/30 + 2 25/30

6 31/30

Rewriting

6 30/30 + 1/30

6 + 1 + 1/30

7 1/30

[tex] \to \sf4 \dfrac{1}{5} + 2 \dfrac{5}{6} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{21}{5} + \dfrac{17}{6} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{\dfrac{21 \times 30}{5} + \dfrac{17 \times 30}{6} }{30}[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{21 \times 6 + 17 \times 5}{30}[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{126+ 85}{30}[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{211}{30}[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf 7\dfrac{1}{30}[/tex]

Wallah! all done ✔

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