Question

Add.
StartFraction 8 Over x EndFraction plus StartFraction 9 Over 7 x squared EndFraction
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Part 1
StartFraction 8 Over x EndFraction plus StartFraction 9 Over 7 x squared EndFraction
equals
  
enter your response here ​(Simplify your​ answer.)

Answer 1

To add the fractions \(\frac{8}{x}\) and \(\frac{9}{7x^2}\), we need to find a common denominator. The least common denominator (LCD) for these two fractions is \(7x^2\).

Now, we will rewrite each fraction with the common denominator:

1. Convert \(\frac{8}{x}\) to have the denominator \(7x^2\):
\[
\frac{8}{x} = \frac{8 \cdot 7x}{x \cdot 7} = \frac{56x}{7x^2}
\]

2. The second fraction \(\frac{9}{7x^2}\) already has the correct denominator, so we leave it as it is.

Now we can add the two fractions:
\[
\frac{56x}{7x^2} + \frac{9}{7x^2} = \frac{56x + 9}{7x^2}
\]

Thus, the final answer is:
\[
\frac{56x + 9}{7x^2}
\]

This is your simplified result.