Example

Example of Multiplying 125(20x)-\frac{12}{5}(-20x)

To evaluate the product of a fraction and an integer, such as 125(20x)-\frac{12}{5}(-20x), first determine the sign. Since both factors are negative, their product is positive. Next, write the integer term 20x20x as a fraction by placing it over 11, resulting in 12520x1\frac{12}{5} \cdot \frac{20x}{1}. Multiply the numerators and denominators to get 1220x51\frac{12 \cdot 20x}{5 \cdot 1}. To simplify, rewrite 2020 as 545 \cdot 4 to expose the common factor of 55: 1254x5\frac{12 \cdot 5 \cdot 4x}{5}. Dividing out the common factor of 55 leaves 124x12 \cdot 4x, which simplifies to 48x48x.

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Updated 2026-05-02

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