1Cademy - Example of Dividing $$-\frac{7}{27} \div \left(-\frac{35}{36}<br>ight)$$

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Example of Dividing $-\frac{7}{18} \div \left(-\frac{14}{27} ight)$

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Example of Dividing $-\frac{7}{27} \div \left(-\frac{35}{36} ight)$

To evaluate the division of two negative fractions, such as $-\frac{7}{27} \div \left(-\frac{35}{36} ight)$ , start by rewriting the division as multiplication by the reciprocal of the second fraction: $-\frac{7}{27} \cdot \left(-\frac{36}{35} ight)$ . Determine the sign of the product; because both fractions are negative, the result is positive. Multiply the numerators and denominators to get $\frac{7 \cdot 36}{27 \cdot 35}$ . Before multiplying completely, rewrite the numbers to reveal their common factors: $\frac{7 \cdot 9 \cdot 4}{9 \cdot 3 \cdot 7 \cdot 5}$ . Divide out the common factors of $7$ and $9$ from both the numerator and denominator, which leaves $\frac{4}{3 \cdot 5}$ . This simplifies to the final quotient of $\frac{4}{15}$ .

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Updated 2026-05-26

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OpenStax Intermediate Algebra

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