Question

Evaluate.

Answer 1

$\implies {\blue {\boxed {\boxed {\purple {\sf {Numerator\:=\:25 }}}}}}$

$\implies {\blue {\boxed {\boxed {\purple {\sf {Denominator \:=\:56}}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$\: \frac{ - 3}{7} + \frac{7}{8}$

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,

➺$\: \frac{ - 3 \times 8}{7 \times 8} + \frac{7 \times 7}{8 \times 7}$

➺$\: \frac{ - 24}{56} + \frac{49}{56}$

Now that the denominators are equal, we can add them.

➺$\: \frac{ - 24 + 49}{56}$

➺$\: \frac{ 25}{56}$

Therefore, the numerator is $\boxed{ 25 }$ and the denominator is $\boxed{ 56 }$.

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}$