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Fractions Division: Several examples with detailed solutions and exercises with answers on are presented.A calculator to divide fractions is included in this website.
How to divide fractions?
Example 1: Divide and simplfy, and express the final answer as a fraction.
(5 / 3) / (10 / 7)
Solution to Example 1
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction
(5 / 3) / (10 / 7) = (5 / 3) . (7 / 10) = 35 / 30 = 7 / 6
Example 2: Divide and simplfy, and express the final answer as a fraction.
(11 / 9) / (2)
Solution to Example 2
To divide a fraction by a number, you multiply the first fraction by the reciprocal of the number
(11 / 9) / (2) = (11 / 9) . (1 / 2) = 11 / 18
Example 3: Divide, simplfy and express the final answer as a fraction.
(3) / (2 / 15)
Solution to Example 3
To divide a number by a fraction, first change the number into a fraction of denominator equal to 1 and then carry out the division of two fractions as was done above
(3) / (2 / 15) = (3 / 1) / (2 / 15) = (3 / 1) . (15 / 2) = 45 / 2
Exercises: Divide, simplify and express as fractions.
1. (2 / 15) / (6 / 5)
2. (5) / (33 / 25)
3. (2 / 33) / 11
Answers to Above Exercises:.
1. 1 / 9
2. 253 / 250
3. 2 / 5
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