-9 ÷ (-3/5)
Understand the Problem
The question involves solving a mathematical expression that includes division of negative numbers and fractions. The operation needs to be executed step by step, and the use of proper rules for signs and fractions is important to arrive at the correct answer.
Answer
The result of the expression is $15$.
Answer for screen readers
The final answer is $15$.
Steps to Solve
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Identify the expression The expression to solve is $$ -9 \div \left(-\frac{3}{5}\right) $$
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Convert division to multiplication Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as: $$ -9 \times \left(-\frac{5}{3}\right) $$
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Multiply the integers Now, we perform the multiplication: $$ -9 \times -\frac{5}{3} = \frac{9 \times 5}{3} $$ This results in: $$ \frac{45}{3} $$
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Simplify the fraction To simplify, divide the numerator by the denominator: $$ \frac{45}{3} = 15 $$
The final answer is $15$.
More Information
When dividing by a negative fraction, the signs change, which leads to a positive result. The simplification process helps in reducing the fraction to its lowest terms.
Tips
- A common mistake is forgetting to change the sign when dividing by a negative number, leading to an incorrect answer.
- Another mistake is neglecting to simplify the resulting fraction properly.
