Respuesta :

Answer:

3 7/18

Step-by-step explanation:

2 1/6 + 1 2/9 (- cancels with the - to give us +)

Convert to simple fraction: 13/6 +11/9

Find the common denominator: 13x 3/6x3  + 11 x 2/9 x 2

39/18 + 22/18

Now that the denominators are same, conduct the given operation.

39 + 22/ 18

61/18

Convert into mixed fraction: 3  7/18

Final answer: 3 7/18

Step-by-step explanation:

[tex] = 2 \frac{1}{6} - ( - 1 \frac{2}{9} ) \\ [/tex]

[tex] = 2 \frac{1}{6} + 1 \frac{2}{9} \\ [/tex]

[tex] = \frac{2 \times 6 + 1}{6} + \frac{1 \times 9 + 2}{9} \\ [/tex]

[tex] = \frac{13}{6} + \frac{11}{9} \\ [/tex]

[tex] = \frac{13}{6} \times \frac{3}{3} + \frac{11}{9} \times \frac{2}{2} \\ [/tex]

[tex] = \frac{39}{18} + \frac{22}{18} \\ [/tex]

[tex] = \frac{39 + 22}{18} \\ [/tex]

[tex] = \frac{61}{18} \\ [/tex]

[tex] = 3 \frac{7}{18} \\ [/tex]

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