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Date:___________________

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Grade 5 - Mathematics
5.22 Mixed Number to Improper Fraction

Example: Convert mixed number 2 3/5 to improper fraction.
Solution: This can be done in two ways:

Method 1

  1. Multiply the denominator of fractional part (5) with the integer portion (2)
  2. 5 * 2 = 10
  3. Add the numerator 10 + 3 = 13
  4. Therefore the improper fraction has numerator 13 and denominator of the fractional part (5)
  5. 2 3/5 = 13/5
Answer: 13/5

Method 2

  1. The mixed number, 2 3/5, can be changed to an improper fraction by converting the integer portion to a fraction with the same denominator as the fractional portion and then adding the two fractions
  2. So the integer portion 2 is converted to 10/5.
  3. The sum of the two fractions becomes 10/5 + 3/5 = 13/5.
Answer: 13/5


Directions: Convert the following mixed fractions to improper fractions. Also write at least ten examples of your own.

Name: ___________________

Date:___________________

Grade 5 - Mathematics
5.22 Mixed Number to Improper Fraction

Q 1: 7 1/7
50/7
48/7
15/7

Q 2: 5 5/10
40
55/10
50/10

Q 3: 10 2/3
32/3
32/2
32/4

Q 4: 5 3/9
48
48/9
17/9

Q 5: 7 2/6
44
44/6
17/6

Q 6: 3 10/12
46/12
46/10
44/12

Q 7: 8 4/6
17/8
52
52/6

Q 8: 6 2/8
14
50/8
16/8

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Question 10: This question is available to subscribers only!


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