Q. Simplify. Express your answer as a single fraction in simplest form. 37r+7s1
Identify LCM: Identify the least common multiple (LCM) of the denominators 3 and 7s. Since 3 and 7s have no common factors other than 1, the LCM is simply their product, which is 21s.
Convert fractions: Convert each fraction to have the LCM as the denominator. To do this, multiply the numerator and denominator of the first fraction by 7s to get (7r×7s)/(3×7s) and multiply the numerator and denominator of the second fraction by 3 to get (1×3)/(7s×3).
Perform multiplications: Perform the multiplications from Step 2. This gives us (49rs)/(21s) for the first fraction and 3/(21s) for the second fraction.
Add fractions: Add the two fractions together. Since they now have the same denominator, we can add the numerators directly. This gives us (49rs+3)/(21s).
Check for simplification: Check if the expression can be simplified further. In this case, the numerator and the denominator have no common factors other than 1, so the expression is already in its simplest form.
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