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MEAP Preparation - Grade 7 Mathematics
1.55 Operation on Fractions

Operations with Fractions:
  1. Addition and Subtration:
    To add or subtract unlike fractions, first we convert them into like fractions and then perform the required operation on like fractions so obtained.
    Example:
    1. 2/7 + 3/7 = 5/7
    2. 1/2 + 1/3 = 3/6 + 2/6 = 5/6
    3. 4/7 - 3/7 = 1/7
    4. 1/2 - 1/3 = 3/6 - 2/6 = 1/6

  2. Multiplication of Fractions:
    The product of two or more fractions is a fraction whose numerator is the product of their numerators and denominator is the product of their denominators.
    Example:
    • 2/3 x 4/5 = (2x4)/(3x5) = 8/15
    • 9/27 x 2/3 = 18/81 = 2/9

  3. When the product of two fractions or a fraction and a whole number is 1, then either of them is called the reciprocal of the other. Example:
    2/3 x 3/2 = 1
    4/7 x 7/4 = 1

  4. The number zero (0) has no reciprocal. Example: 0/0
    Division by zero is not defined.

  5. Division of Fractions:
    Dividing a fraction or a whole number by a fraction or a whole number (other than zero) is the same as multiplying the first by the reciprocal of the second.
    24/7 49/12 = 24/7 x 12/49 = 14
    3 4/3 = 3 x 3/4 = 9/4
    4/3 3 = 4/3 x 1/3 = 4/9

Directions: Solve the following problems and simplify the answers. Also write at least 5 example for all the operations on fractions.
Q 1: (260/6) (360/6) = _____ ?
Answer:

Q 2: 21/7 x 37/7= _____ ?
Answer:

Q 3: 260/22 - 282/22 = _____ ?
Answer:

Q 4: 5/7 + 7/6 = _____ ?
Answer:

Q 5: (28/7) (36/8) = _____ ?
Answer:

Q 6: 360/6 x 20/9 = _____ ?
Answer:

Q 7: 21/8 - 20/9 = _____ ?
Answer:

Q 8: (19/625) (18/125) = _____ ?
Answer:

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