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Insert Three Fractions Between 2/5 "And" 4/9 - Mathematics

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Question

Insert three fractions between

`2/5  "and"  4/9`

Sum

Solution

Fraction between `2/5  "and"  4/9`

`= (2 + 4)/(5 + 9) = 6/14 = 3/7`

Fraction between `2/5  "and"  3/7`

`= (2+ 3)/(5 + 7) = 5/12`

and Fraction between `3/7  "and"  4/9`

`= (3 + 4)/(7 + 9) = 7/16`

Hence, three fractions between `2/5` and `4/9` will be `5/12, 3/7  "and"  7/16`

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Concept for Fraction as an Operator
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Chapter 3: Fractions (Including Problems) - Exercise 3 (B)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 3 Fractions (Including Problems)
Exercise 3 (B) | Q 8.1
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