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MEAP Preparation - Grade 7 Mathematics
1.4 Division of Fractions

For dividing a fraction by a fraction or by a whole number (other than zero), we find the multiplicative inverse or reciprocal of the fraction/whole number (other than zero) and then multiply the first fraction by the reciprocal of the second fraction.
Thus, the division of a fraction by a fraction/whole number (other than zero) is converted into a problem of multiplication of fractions.
To find the reciprocal of a fraction, we interchange its numerator and the denominator. In case of a whole number say 8, we can find the reciprocal by considering 8 as 8/1. The reciprocal of 8 is 1/8.

Reciprocal: Reciprocal of a number is the inverse of it.
Example: Reciprocal of 3 is 1/3.


  1. While dividing two fractions, we reciprocate the second fraction.
  2. Find the product of the two fractions.
  3. Simplify to lowest tems.
Example: 3/5 4/9 = ?
  1. Write the reciprocal of 4/9 which is 9/4.
  2. Multiply 3/5 x 9/4 = 27/20.
Answer: 27/20

Directions: Divide the following fractions. Also write at least ten examples of your own.
Q 1: 2/5 2/3 = ?

Q 2: 4/5 2/9 = ?

Q 3: 3/4 1/2 = ?

Q 4: 9/5 3/9 = ?

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Question 6: This question is available to subscribers only!

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