Example

Example of Simplifying −120192-\frac{120}{192}

To simplify the negative fraction −120192-\frac{120}{192}, find the common factors between the numerator and denominator. Using prime factorization, 120=2⋅2⋅2⋅3⋅5120 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 and 192=2⋅2⋅2⋅2⋅2⋅2⋅3192 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3. Dividing out the shared factors (three 22s and one 33, which multiply to 2424) leaves 55 in the numerator and 2⋅2⋅2=82 \cdot 2 \cdot 2 = 8 in the denominator. Therefore, the simplified fraction is −58-\frac{5}{8}.

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Updated 2026-06-18

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