Questions: Find the sum: -4/15+(-6/15). Simplify your answer.

Find the sum: -4/15+(-6/15). Simplify your answer.
Transcript text: Question Find the sum: $-\frac{4}{15}+\left(-\frac{6}{15}\right)$. Simplify your answer. Provide your answer below: $\square$ FEEDBACK MORE INSTRUCTION
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Solution

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Solution Steps

To find the sum of the two fractions \(-\frac{4}{15}\) and \(-\frac{6}{15}\), we can directly add them since they have the same denominator. The sum of the numerators will give us the numerator of the result, and the denominator will remain the same. After finding the sum, we simplify the fraction if possible.

Step 1: Define the Fractions

We start with the two fractions: \[ -\frac{4}{15} \quad \text{and} \quad -\frac{6}{15} \]

Step 2: Add the Fractions

Since both fractions have the same denominator, we can add them directly: \[ -\frac{4}{15} + \left(-\frac{6}{15}\right) = \frac{-4 - 6}{15} = \frac{-10}{15} \]

Step 3: Simplify the Result

Next, we simplify the fraction \(\frac{-10}{15}\): \[ \frac{-10}{15} = \frac{-2}{3} \]

Final Answer

Thus, the simplified sum is \[ \boxed{-\frac{2}{3}} \]

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