1Cademy - Example of Multiplying $$\frac{13}{7}(-14b)$$

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Example of Multiplying $-\frac{12}{5}(-20x)$

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Example of Multiplying $\frac{13}{7}(-14b)$

To evaluate the multiplication of a positive fraction and a negative integer variable term, such as $\frac{13}{7}(-14b)$ , first determine the sign of the product. Since the terms have different signs, the product is negative. Write the integer term as a fraction, $-\frac{14b}{1}$ , and multiply the numerators and denominators to yield $-\frac{13 \cdot 14b}{7 \cdot 1}$ . Rewrite the numerator to expose the common factor of $7$ , giving $-\frac{13 \cdot 2 \cdot 7b}{7}$ . Finally, divide out the common factor of $7$ to simplify the expression, resulting in $-26b$ .