Here’s a quick check for adding rational numbers, including some practice problems and answers:
Quick Check: Adding Rational Numbers
Problems:
- \( \frac{2}{3} + \frac{1}{6} \)
- \( -\frac{5}{4} + \frac{3}{8} \)
- \( \frac{7}{10} + \frac{2}{5} \)
- \( -\frac{3}{5} + \frac{4}{5} \)
- \( \frac{1}{2} + \frac{2}{3} \)
Instructions:
Add the rational numbers in each problem and simplify your answer if necessary.
Answers:
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Problem: \( \frac{2}{3} + \frac{1}{6} \)
Solution: \( \frac{2}{3} = \frac{4}{6} \)
\( \frac{4}{6} + \frac{1}{6} = \frac{5}{6} \)
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Problem: \( -\frac{5}{4} + \frac{3}{8} \)
Solution: \( -\frac{5}{4} = -\frac{10}{8} \)
\( -\frac{10}{8} + \frac{3}{8} = -\frac{7}{8} \)
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Problem: \( \frac{7}{10} + \frac{2}{5} \)
Solution: \( \frac{2}{5} = \frac{4}{10} \)
\( \frac{7}{10} + \frac{4}{10} = \frac{11}{10} = 1 \frac{1}{10} \)
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Problem: \( -\frac{3}{5} + \frac{4}{5} \)
Solution:
\( -\frac{3}{5} + \frac{4}{5} = \frac{1}{5} \)
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Problem: \( \frac{1}{2} + \frac{2}{3} \)
Solution:
\( \frac{1}{2} = \frac{3}{6} \)
\( \frac{2}{3} = \frac{4}{6} \)
\( \frac{3}{6} + \frac{4}{6} = \frac{7}{6} = 1 \frac{1}{6} \)
Feel free to modify the problems or let me know if you need additional explanations or examples!