It looks like you've uploaded an image showing the
answers to a worksheet titled *"Converting Improper Fractions to Mixed Fractions"*. The image contains eight problems (a through h), each showing an improper fraction and its equivalent mixed number.
However, since this is just the
answer key, and not the original problem set (i.e., no instructions or questions to solve), I’ll explain how to
convert improper fractions to mixed numbers, using the examples shown in the image.
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🔁 How to Convert an Improper Fraction to a Mixed Number
An
improper fraction is a fraction where the numerator is greater than or equal to the denominator. A
mixed number consists of a whole number and a proper fraction.
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✔ Steps:
1.
Divide the numerator by the denominator.
2. The
quotient becomes the whole number.
3. The
remainder becomes the new numerator.
4. The
denominator stays the same.
Let’s go through a few examples from the image:
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Example a) $ \frac{9}{2} $
- Divide: $ 9 ÷ 2 = 4 $ remainder $ 1 $
- So, $ \frac{9}{2} = 4\frac{1}{2} $
✔ Answer: $ 4\frac{1}{2} $
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Example b) $ \frac{14}{5} $
- $ 14 ÷ 5 = 2 $ remainder $ 4 $
- So, $ \frac{14}{5} = 2\frac{4}{5} $
✔ Answer: $ 2\frac{4}{5} $
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Example c) $ \frac{4}{3} $
- $ 4 ÷ 3 = 1 $ remainder $ 1 $
- So, $ \frac{4}{3} = 1\frac{1}{3} $
✔ Answer: $ 1\frac{1}{3} $
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Example d) $ \frac{15}{4} $
- $ 15 ÷ 4 = 3 $ remainder $ 3 $
- So, $ \frac{15}{4} = 3\frac{3}{4} $
✔ Answer: $ 3\frac{3}{4} $
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Example e) $ \frac{57}{10} $
- $ 57 ÷ 10 = 5 $ remainder $ 7 $
- So, $ \frac{57}{10} = 5\frac{7}{10} $
✔ Answer: $ 5\frac{7}{10} $
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Example f) $ \frac{29}{6} $
- $ 29 ÷ 6 = 4 $ remainder $ 5 $
- So, $ \frac{29}{6} = 4\frac{5}{6} $
✔ Answer: $ 4\frac{5}{6} $
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Example g) $ \frac{101}{11} $
- $ 101 ÷ 11 = 9 $ remainder $ 2 $
- So, $ \frac{101}{11} = 9\frac{2}{11} $
✔ Answer: $ 9\frac{2}{11} $
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Example h) $ \frac{67}{8} $
- $ 67 ÷ 8 = 8 $ remainder $ 3 $
- So, $ \frac{67}{8} = 8\frac{3}{8} $
✔ Answer: $ 8\frac{3}{8} $
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📌 Summary
All answers in the image are
correct. They follow the standard method of converting improper fractions to mixed numbers.
If you were given these improper fractions as a problem set, the process above is how you’d solve them step-by-step.
Would you like me to generate a similar worksheet with problems (not just answers) for practice?
Parent Tip: Review the logic above to help your child master the concept of converting improper fractions to mixed numbers worksheet pdf.
