-7/15 ÷ 11/6
Understand the Problem
The question is asking for the solution to a mathematical expression involving fractions and division. We need to solve for the value of -7/15 divided by 11/6.
Answer
The answer is $\frac{-14}{55}$.
Answer for screen readers
The final answer is $\frac{-14}{55}$.
Steps to Solve
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Convert the division to multiplication To divide fractions, we multiply by the reciprocal of the second fraction. This changes the equation from $-\frac{7}{15} \div \frac{11}{6}$ to $-\frac{7}{15} \times \frac{6}{11}$.
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Multiply the numerators Multiply the numerators together: $$ -7 \times 6 = -42 $$
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Multiply the denominators Multiply the denominators together: $$ 15 \times 11 = 165 $$
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Combine the fractions Now combine the results from the previous steps: $$ \frac{-42}{165} $$
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Simplify the fraction To simplify, find the greatest common divisor (GCD) of 42 and 165, which is 3. Now divide both the numerator and the denominator by 3: $$ \frac{-42 \div 3}{165 \div 3} = \frac{-14}{55} $$
The final answer is $\frac{-14}{55}$.
More Information
This answer represents the simplified result of dividing $-\frac{7}{15}$ by $\frac{11}{6}$. Simplifying fractions often helps in understanding and working with them in different contexts, such as in algebra and calculus.
Tips
- Forgetting to change the division to multiplication by flipping the second fraction.
- Not simplifying the fraction at the end of the problem; always check for common factors.
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