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MEAP Preparation - Grade 7 Mathematics
1.86 Addition and Subtraction of Mixed Fractions with Unlike Denominators

Method:
  1. Add or subtract the whole numbers
  2. Add the fractional part
Example: 1 1/2 + 3 3/4
  1. Add the whole numbers 1 and 3 which gives 4.
  2. Add the fractional part, 1/2 + 3/4
  3. LCM of 2 and 4 is 4.
  4. 1/2 x 4/4 = 2/4
  5. 3/4 x 4/4 = 3/4
  6. Add the fractions 2/4 + 3/4 = 5/4
Answer: 4 5/4

Example: 7 1/2 - 3 1/4

  1. Subtract the whole numbers (7-3) which gives 4.
  2. Subtract the fractional part.
  3. 1/2 - 3/4
  4. LCM of 2 and 4 is 4.
  5. 1/2 x 4/4 = 2/4
  6. 1/4 x 4/4 = 1/4
  7. (2-1)/4 = 1/4
Answer: 4 1/4


Directions: Add or subtract the following mixed fractions. Also write at least ten examples of your own.
Q 1: 9 1/4 + 2 1/2 =
11 1/3
12 3/4
11 3/4

Q 2: 5 1/2 - 3 2/5 =
2 1/10
2 1/5
2 5/10

Q 3: 1 2/3 + 1 2/4 =
1 7/6
2 7/6
3 7/6

Q 4: 6/12 + 1/4 =
2/4
3/4
7/12

Q 5: 9 5/7 + 6 1/2 =
16 3/14
15 6/7
15 17/14

Q 6: 2 3/9 + 1 1/3 =
3 4/9
1 4/9
3 2/3

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