4/9+3/8[tex] \frac{4}{9} + \frac{3}{8} [/tex]

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To add these fractions, we first need to make sure they have a common denominator. In this case, the least common multiple of 9 and 8 is 72.

Rewriting the fractions with a common denominator:

[tex] \frac{4 \times 8}{9 \times 8} + \frac{3 \times 9}{8 \times 9} [/tex]
[tex] \frac{32}{72} + \frac{27}{72} [/tex]

Now that the fractions have a common denominator, we can add them:

[tex] \frac{32 + 27}{72} [/tex]
[tex] \frac{59}{72} [/tex]

Therefore, [tex] \frac{4}{9} + \frac{3}{8} = \frac{59}{72} [/tex]