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Insert Three Fractions Between 1/2 "And" 5/7 - Mathematics

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Question

Insert three fractions between

`1/2  "and"  5/7`

Sum

Solution

Fraction between `1/2  "and"  5/7`

`= (1 + 5)/(2 + 7) = 6/9 = 2/3`

Fraction between `1/2  "and"  2/3`

`= (1+ 2)/(2 + 3) = 3/5`

and Fraction between `2/3  "and"  5/7`

`= (2 + 5)/(3 + 7) = 7/10`

Hence, three fractions between `1/2` and `5/7` will be `3/5, 2/3  "and"  7/10`

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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 8.2
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