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Answer
The expression simplifies to \( \frac{p + 7}{5m} \).
Solution
Since the two fractions have the same denominator, 5m, you can combine them by adding their numerators:
(4p)/(5m) + (7 - 3p)/(5m) = (4p + 7 - 3p)/(5m).
Now, combine the like terms in the numerator:
4p - 3p = p.
So the expression simplifies to:
(p + 7)/(5m).
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Simplify this solution Bonus Knowledge
Let's combine the fractions! Since they have the same denominator, we can add the numerators directly: \[ \frac{4p + (7 - 3p)}{5m} \] This simplifies to: \[ \frac{4p + 7 - 3p}{5m} = \frac{(4p - 3p) + 7}{5m} = \frac{p + 7}{5m} \] So, the final result is: \[ \frac{p + 7}{5m} \]
