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Add 4/11 and -8/11...

Add `4/11` and `-8/11`

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To solve the problem of adding \( \frac{4}{11} \) and \( -\frac{8}{11} \), we can follow these steps: ### Step 1: Write the expression We start by writing the expression for the addition of the two rational numbers: \[ \frac{4}{11} + \left(-\frac{8}{11}\right) \] ### Step 2: Identify the common denominator Since both fractions have the same denominator (11), we can directly add the numerators. The common denominator is: \[ 11 \] ### Step 3: Add the numerators Now we will add the numerators: \[ 4 + (-8) = 4 - 8 \] ### Step 4: Perform the subtraction Now we perform the subtraction: \[ 4 - 8 = -4 \] ### Step 5: Write the result as a fraction Now we can write the result as a fraction with the common denominator: \[ \frac{-4}{11} \] ### Final Answer Thus, the sum of \( \frac{4}{11} \) and \( -\frac{8}{11} \) is: \[ \frac{-4}{11} \] ---
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