Q. Simplify. Express your answer as a single fraction in simplest form. 59p+5pq2
Identify Common Denominator: Identify the common denominator for the fractions59p and 5pq2. Since both denominators already contain the number 5, and the second denominator has an additional variable q, the common denominator is 5pq.
Rewrite Fractions: Rewrite each fraction with the common denominator. The first fraction, 59p, needs to be multiplied by qq to have the common denominator, becoming 5pq9pq. The second fraction, 5pq2, already has the common denominator, so it remains unchanged.
Add Fractions: Add the two fractions now that they have a common denominator. This gives us (9pq+2)/5pq.
Check Numerator Simplification: Check if the numerator can be simplified. In this case, 9pq and 2 do not have any common factors other than 1, so the numerator cannot be simplified further.
Check Fraction Simplification: Check if the fraction itself can be simplified. Since p and q are variables and we do not know their values, we cannot simplify the fraction further without additional information. Therefore, the final answer is (9pq+2)/5pq.
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