Q. Simplify. Express your answer as a single fraction in simplest form. a5+4b
Identify Common Denominator: First, we need to identify the common denominator for the fractions. Since 4b is not a fraction, we can consider it as 14b. The common denominator for the fractions a5 and 14b is a.
Rewrite Terms with Common Denominator: Now, we will rewrite each term with the common denominator a. The first term is already in the correct form, a5. The second term, 4b, needs to be multiplied by aa to have the common denominator.
Combine Terms: After rewriting the second term, we have 4b×(a/a) which is equal to (4ab)/a. Now we can combine the two terms.
Check for Further Simplification: Combining the two terms with the common denominator gives us (5+4ab)/a. This is the expression simplified as a single fraction.
Check for Further Simplification: Combining the two terms with the common denominator gives us (5+4ab)/a. This is the expression simplified as a single fraction.Finally, we check if the fraction can be simplified further. Since 5 and 4ab do not have common factors, and a is already in the denominator, the fraction is in its simplest form.
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