1. \( \frac{2}{3}+\frac{4}{3}= \) 2. \( \frac{5}{2}-\frac{3}{2}= \) 3. \( \frac{2}{3}+\frac{4}{2}= \) 4. \( \frac{2}{5}-\frac{7}{3}= \) 5. \( -\frac{4}{5}-\frac{2}{3}= \) 6. \( -\frac{2}{5}+\frac{1}{3}= \) 7. \( -\frac{1}{6}-\frac{5}{2}= \) 8. \( \frac{3}{5}-\frac{2}{3}+\frac{1}{4}= \) 9. \( -\frac{1}{3}-\frac{2}{5}+\frac{1}{4}= \) 10. \( \frac{5}{3}-\frac{3}{5}-\frac{7}{4}= \)
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The Deep Dive
To tackle these fraction problems, remember that finding a common denominator is key for addition and subtraction! This makes the fractions easier to work with and avoids messy arithmetic. For example, in \( \frac{2}{3} + \frac{4}{3} \), both fractions already share the denominator, so you can add the numerators directly: \( 2 + 4 = 6 \), giving you \( \frac{6}{3} = 2 \). It's also common to mismanage negative signs, especially with subtraction! Always double-check your negatives while performing operations, like in \( -\frac{2}{5} + \frac{1}{3} \). You want to ensure you're correctly handling signs, as a simple mistake there can lead to a completely incorrect answer. Keeping a keen eye on your signs will help you avoid the typical pitfalls!
