Respuesta :

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{ - 21}{10} \:(or) \: - 2 \frac{1}{10} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{8}{ - 5} + ( \frac{ - 1}{2} )[/tex]

[tex] \\= \frac{ - 8}{5} - \frac{1}{2} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 5 and 2 is 10.

Now, multiply the L.C.M. with both numerator & denominator.

[tex]\\ = \frac{ - 8 \times 2}{5 \times 2} - \frac{1 \times 5}{2 \times 5} [/tex]

[tex] \\= \frac{ - 16}{10} - \frac{5}{10} [/tex]

Now that the denominators are equal, we can subtract the numerators.

[tex] \\= \frac{ - 16 - 5}{10} [/tex]

[tex] \\= \frac{ - 21}{10} [/tex]

[tex] \\= - 2 \frac{1}{10} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♨}}}}}[/tex]

Answer:

-21/10

Step-by-step explanation:

-8/5. + -1/2

2(-8/5) + (-1/2)5

-16/10 - 5/10

-21/10

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