Decomposing Mixed Numbers Worksheet
Practice decomposing mixed numbers into their whole number and fractional parts, and vice versa, for Grade 7 math students.
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Decomposing Mixed Numbers
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Read each question carefully and follow the instructions to decompose mixed numbers or convert improper fractions. Show your work where necessary.
Decompose each mixed number into a whole number and a proper fraction.
1. 3 1/2 = +
2. 5 3/4 = +
3. 2 5/6 = +
4. 4 1/3 = +
5. 7 2/5 = +
6. 1 7/8 = +
For each mixed number, draw fraction bars to represent its decomposition. Then write the sum.
7. 1 1/4
Sum:
8. 2 2/3
Sum:
9. Which of the following correctly decomposes 4 1/5?
4 + 5/1
4 + 1/5
5 + 1/4
1 + 4/5
10. Which mixed number is represented by 6 + 3/7?
7 3/6
6 7/3
6 3/7
3 6/7
Convert each improper fraction to a mixed number by showing its decomposition.
11. 7/3 = + =
12. 11/4 = + =
13. 9/2 = + =
14. 13/5 = + =
Determine if the following statements about decomposing mixed numbers are True or False.
15. The mixed number 5 1/8 can be decomposed as 5 + 1/8.
True
False
16. 2 + 5/3 is a correct decomposition of the mixed number 3 2/3.
True
False
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