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### MEAP Preparation - Grade 6 Mathematics2.22 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. Method While dividing two fractions, we reciprocate the second fraction. Find the product of the two fractions. Simplify to lowest tems. Example: 3/5 ÷ 4/9 = ? Write the reciprocal of 4/9 which is 9/4. 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: 1/5 ÷ 5/2 = ? Answer: Q 2: 4/5 ÷ 4/5 = ? Answer: Q 3: 2/5 ÷ 3/9 = ? Answer: Q 4: 4/5 ÷ 4/5 = ? Answer: Q 5: 7/5 ÷ 2/9 = ? Answer: Q 6: 4/5 ÷ 2/9 = ? Answer: Q 7: 3/4 ÷ 1/2 = ? Answer: Q 8: 2/5 ÷ 5/2 = ? Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!