Example

Example of Multiplying 113(βˆ’9a)\frac{11}{3}(-9a)

To evaluate the multiplication of a fraction and an integer variable term, such as 113(βˆ’9a)\frac{11}{3}(-9a), first determine the sign of the product. Since the signs are different, the product will be negative. Next, write the integer term as a fraction, βˆ’9a1-\frac{9a}{1}, and multiply the numerators and denominators to get βˆ’11β‹…9a3β‹…1-\frac{11 \cdot 9a}{3 \cdot 1}. Rewrite the numerator to reveal the common factor of 33: βˆ’11β‹…3β‹…3a3-\frac{11 \cdot 3 \cdot 3a}{3}. Dividing out the common factor of 33 simplifies the expression to the final product, βˆ’33a-33a.

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Updated 2026-05-26

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