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Insert Three Fractions Between 11/12 "And" 2/3 - Mathematics

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Question

Insert three fractions between

`11/12  "and"  2/3`

Sum

Solution

Fraction between `11/12  "and"  2/3`

`= (11 + 2)/(12 + 3) = 13/15`

Fraction between `11/12  "and"  13/15`

`= (11 + 13)/(12 + 15) = 24/27 = 8/9`

and Fraction between `13/15  "and"  2/3`

`= (13 + 2)/(15 + 3) = 15/18 = 5/6`

Hence, three fractions between `11/12` and `2/3` will be `8/9 , 13/15  "and"  5/6`

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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 8.4
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