Math Problem Statement

dd.​ Simplify, if necessary.

left parenthesis negative six fifths right parenthesis plus left parenthesis negative nine fifths right parenthesis−65+−95

Solution

Let's evaluate the expression:

(65)+(95)\left(-\frac{6}{5}\right) + \left(-\frac{9}{5}\right)

Since both fractions have the same denominator, we can add the numerators directly:

65+95=6+(9)5=155\frac{-6}{5} + \frac{-9}{5} = \frac{-6 + (-9)}{5} = \frac{-15}{5}

Now, simplify the fraction:

155=3\frac{-15}{5} = -3

So, the result is:

3-3

Would you like further details or explanations?

Here are some related questions:

  1. What is the rule for adding fractions with the same denominator?
  2. How do you handle adding negative fractions?
  3. What happens when you simplify a fraction to a whole number?
  4. How do you add mixed numbers?
  5. How do you convert a fraction to a decimal?

Tip: Always check if a fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).

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Math Problem Analysis

Mathematical Concepts

Fractions
Negative Numbers
Adding Fractions

Formulas

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Theorems

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Suitable Grade Level

Grades 5-6