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2 years ago

Evaluate.

Mathematics

1 answer:

vichka [17]2 years ago

7 0

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

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

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

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

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 $\boxed{ 56 }$ .

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

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$\large \mathbb{PROBLEM:}$

$\begin{array}{l} \textsf{Suppose }\displaystyle \sf \int \dfrac{\sqrt[4]{\frac{1}{\cos^2 x} - 1}}{\sin 2x}\ dx = A \\ \\ \textsf{What is the value of }\sf A^2? \end{array}$

$\large \mathbb{SOLUTION:}$

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