Questions: -frac59+frac39

-frac59+frac39
Transcript text: \[ -\frac{5}{9}+\frac{3}{9} \]
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Solution

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Solution Steps

To add two fractions, ensure they have a common denominator. Since the fractions \(-\frac{5}{9}\) and \(\frac{3}{9}\) already have the same denominator, you can directly add the numerators and keep the denominator the same.

Step 1: Identify the Fractions

We are given two fractions to add: \(-\frac{5}{9}\) and \(\frac{3}{9}\).

Step 2: Ensure Common Denominator

Both fractions already have a common denominator of 9, so we can proceed to add the numerators directly.

Step 3: Add the Numerators

Add the numerators of the fractions: \[ -5 + 3 = -2 \]

Step 4: Form the Resulting Fraction

The resulting fraction after adding the numerators is: \[ \frac{-2}{9} \]

Step 5: Convert to Decimal

Convert the fraction \(\frac{-2}{9}\) to a decimal: \[ \frac{-2}{9} \approx -0.2222 \]

Final Answer

\(\boxed{\frac{-2}{9}}\)

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