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

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.

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

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

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

Final Answer