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Simplify and Reduce to a Simple Fraction: 1/3 Xx 4 2/3 Div 3 1/2 Xx 1/2 - Mathematics

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Question

Simplify and reduce to a simple fraction:

`1/3 xx 4 2/3 div 3 1/2 xx 1/2`

Sum

Solution

`1/3 xx 4 2/3 div 3 1/2 xx 1/2`

`= 1/3 xx (4 xx 3 + 2)/3 div (3 xx 2 + 1)/2 xx 1/2`

`= 1/3 xx 14/3 div 7/2 xx 1/2`

`= 1/3 xx 14/3 xx 2/7 xx 1/2`  ...[Applying the rule of BODMAS]

[Performing division first]

`= (1 xx 14 xx 2 xx 1)/(3 xx 3 xx 7 xx 2)`

`= 2/9`

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

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 3 Fractions (Including Problems)
Exercise 3 (C) | Q 5.07
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