[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Numerator\:=\:25 }}}}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Denominator \:=\:56}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: \frac{ - 3}{7} + \frac{7}{8} [/tex]
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 7 and 8 is 56.
Now,
➺[tex] \: \frac{ - 3 \times 8}{7 \times 8} + \frac{7 \times 7}{8 \times 7} [/tex]
➺[tex] \: \frac{ - 24}{56} + \frac{49}{56} [/tex]
Now that the denominators are equal, we can add them.
➺[tex] \: \frac{ - 24 + 49}{56} [/tex]
➺[tex] \: \frac{ 25}{56} [/tex]
Therefore, the numerator is [tex]\boxed{ 25 }[/tex] and the denominator is [tex]\boxed{ 56 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}[/tex]
