Questions: Add and simplify. 9/m + 4/m

Add and simplify.
9/m + 4/m
Transcript text: Add and simplify. \[ \frac{9}{m}+\frac{4}{m} \]
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Solution

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Solution Steps

To add the fractions, we need to combine them since they have the same denominator. We simply add the numerators and keep the common denominator. Then, simplify the resulting fraction if possible.

Step 1: Identify Common Denominator

The fractions \(\frac{9}{m}\) and \(\frac{4}{m}\) have the same denominator, \(m\).

Step 2: Add the Numerators

Since the denominators are the same, add the numerators: \[ \frac{9}{m} + \frac{4}{m} = \frac{9 + 4}{m} = \frac{13}{m} \]

Step 3: Simplify the Fraction

The fraction \(\frac{13}{m}\) is already in its simplest form.

Final Answer

\[ \boxed{\frac{13}{m}} \]

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