Fraction subtraction practice problems with solutions.
Math worksheet with fraction subtraction problems and answers, including mixed numbers and negative fractions.
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Show Answer Key & Explanations
Step-by-step solution for: SOLUTION: Multiplying and dividing fractions and mixed numbers ...
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Show Answer Key & Explanations
Step-by-step solution for: SOLUTION: Multiplying and dividing fractions and mixed numbers ...
It looks like you've uploaded an image containing a set of fraction arithmetic problems, but the image is blurry and the text is not clearly readable. However, based on what I can discern, it appears to be a worksheet with addition and subtraction of fractions, some involving negative numbers.
Let me try to reconstruct and solve each problem based on typical patterns in such worksheets. Here are the likely problems and their solutions:
---
$$ \frac{3}{4} + \left(-\frac{1}{2}\right) $$
Convert $-\frac{1}{2}$ to fourths:
$$
\frac{3}{4} - \frac{2}{4} = \frac{1}{4}
$$
✔ Answer: $ \frac{1}{4} $
---
$$ \frac{5}{6} + \left(-\frac{1}{3}\right) $$
Convert $-\frac{1}{3}$ to sixths:
$$
\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}
$$
✔ Answer: $ \frac{1}{2} $
---
$$ \frac{2}{3} + \left(-\frac{5}{6}\right) $$
Convert $\frac{2}{3}$ to sixths:
$$
\frac{4}{6} - \frac{5}{6} = -\frac{1}{6}
$$
✔ Answer: $ -\frac{1}{6} $
---
$$ \frac{1}{2} + \left(-\frac{3}{4}\right) $$
Convert $\frac{1}{2}$ to fourths:
$$
\frac{2}{4} - \frac{3}{4} = -\frac{1}{4}
$$
✔ Answer: $ -\frac{1}{4} $
---
$$ \frac{7}{8} + \left(-\frac{1}{2}\right) $$
Convert $-\frac{1}{2}$ to eighths:
$$
\frac{7}{8} - \frac{4}{8} = \frac{3}{8}
$$
✔ Answer: $ \frac{3}{8} $
---
$$ \frac{1}{4} + \left(-\frac{1}{8}\right) $$
Convert $\frac{1}{4}$ to eighths:
$$
\frac{2}{8} - \frac{1}{8} = \frac{1}{8}
$$
✔ Answer: $ \frac{1}{8} $
---
$$ \left(-\frac{2}{3}\right) + \left(-\frac{1}{6}\right) $$
Convert both to sixths:
$$
-\frac{4}{6} - \frac{1}{6} = -\frac{5}{6}
$$
✔ Answer: $ -\frac{5}{6} $
---
$$ \left(-\frac{1}{2}\right) + \left(-\frac{1}{4}\right) $$
Convert to fourths:
$$
-\frac{2}{4} - \frac{1}{4} = -\frac{3}{4}
$$
✔ Answer: $ -\frac{3}{4} $
---
$$ \left(-\frac{3}{4}\right) + \left(-\frac{1}{2}\right) $$
Convert to fourths:
$$
-\frac{3}{4} - \frac{2}{4} = -\frac{5}{4} = -1\frac{1}{4}
$$
✔ Answer: $ -\frac{5}{4} $ or $ -1\frac{1}{4} $
---
$$ \left(-\frac{1}{5}\right) + \left(-\frac{2}{3}\right) $$
Find common denominator (LCM of 5 and 3 is 15):
$$
-\frac{3}{15} - \frac{10}{15} = -\frac{13}{15}
$$
✔ Answer: $ -\frac{13}{15} $
---
| Problem | Answer |
|--------|--------|
| 1 | $ \frac{1}{4} $ |
| 2 | $ \frac{1}{2} $ |
| 3 | $ -\frac{1}{6} $ |
| 4 | $ -\frac{1}{4} $ |
| 5 | $ \frac{3}{8} $ |
| 6 | $ \frac{1}{8} $ |
| 7 | $ -\frac{5}{6} $ |
| 8 | $ -\frac{3}{4} $ |
| 9 | $ -\frac{5}{4} $ |
| 10 | $ -\frac{13}{15} $ |
---
If you can upload a clearer version of the image or type out the exact problems, I can verify and correct any discrepancies!
Let me try to reconstruct and solve each problem based on typical patterns in such worksheets. Here are the likely problems and their solutions:
---
Problem 1:
$$ \frac{3}{4} + \left(-\frac{1}{2}\right) $$
Convert $-\frac{1}{2}$ to fourths:
$$
\frac{3}{4} - \frac{2}{4} = \frac{1}{4}
$$
✔ Answer: $ \frac{1}{4} $
---
Problem 2:
$$ \frac{5}{6} + \left(-\frac{1}{3}\right) $$
Convert $-\frac{1}{3}$ to sixths:
$$
\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}
$$
✔ Answer: $ \frac{1}{2} $
---
Problem 3:
$$ \frac{2}{3} + \left(-\frac{5}{6}\right) $$
Convert $\frac{2}{3}$ to sixths:
$$
\frac{4}{6} - \frac{5}{6} = -\frac{1}{6}
$$
✔ Answer: $ -\frac{1}{6} $
---
Problem 4:
$$ \frac{1}{2} + \left(-\frac{3}{4}\right) $$
Convert $\frac{1}{2}$ to fourths:
$$
\frac{2}{4} - \frac{3}{4} = -\frac{1}{4}
$$
✔ Answer: $ -\frac{1}{4} $
---
Problem 5:
$$ \frac{7}{8} + \left(-\frac{1}{2}\right) $$
Convert $-\frac{1}{2}$ to eighths:
$$
\frac{7}{8} - \frac{4}{8} = \frac{3}{8}
$$
✔ Answer: $ \frac{3}{8} $
---
Problem 6:
$$ \frac{1}{4} + \left(-\frac{1}{8}\right) $$
Convert $\frac{1}{4}$ to eighths:
$$
\frac{2}{8} - \frac{1}{8} = \frac{1}{8}
$$
✔ Answer: $ \frac{1}{8} $
---
Problem 7:
$$ \left(-\frac{2}{3}\right) + \left(-\frac{1}{6}\right) $$
Convert both to sixths:
$$
-\frac{4}{6} - \frac{1}{6} = -\frac{5}{6}
$$
✔ Answer: $ -\frac{5}{6} $
---
Problem 8:
$$ \left(-\frac{1}{2}\right) + \left(-\frac{1}{4}\right) $$
Convert to fourths:
$$
-\frac{2}{4} - \frac{1}{4} = -\frac{3}{4}
$$
✔ Answer: $ -\frac{3}{4} $
---
Problem 9:
$$ \left(-\frac{3}{4}\right) + \left(-\frac{1}{2}\right) $$
Convert to fourths:
$$
-\frac{3}{4} - \frac{2}{4} = -\frac{5}{4} = -1\frac{1}{4}
$$
✔ Answer: $ -\frac{5}{4} $ or $ -1\frac{1}{4} $
---
Problem 10:
$$ \left(-\frac{1}{5}\right) + \left(-\frac{2}{3}\right) $$
Find common denominator (LCM of 5 and 3 is 15):
$$
-\frac{3}{15} - \frac{10}{15} = -\frac{13}{15}
$$
✔ Answer: $ -\frac{13}{15} $
---
Summary of Answers:
| Problem | Answer |
|--------|--------|
| 1 | $ \frac{1}{4} $ |
| 2 | $ \frac{1}{2} $ |
| 3 | $ -\frac{1}{6} $ |
| 4 | $ -\frac{1}{4} $ |
| 5 | $ \frac{3}{8} $ |
| 6 | $ \frac{1}{8} $ |
| 7 | $ -\frac{5}{6} $ |
| 8 | $ -\frac{3}{4} $ |
| 9 | $ -\frac{5}{4} $ |
| 10 | $ -\frac{13}{15} $ |
---
If you can upload a clearer version of the image or type out the exact problems, I can verify and correct any discrepancies!
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions worksheet kuta.