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Simplify: 4 2/3÷(3-1/2)+(2/5÷1 1/5) - Mathematics

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Question

Simplify:

`4 2/3÷(3-1/2)+(2/5÷1 1/5)`

Sum

Solution

`4 2/3÷(3-1/2)+(2/5÷1 1/5)`

= `14/3÷(3-1/2)+(2/5÷6/5)`

= `14/3÷((6-1)/2)+(2/5xx5/6)`

= `14/3÷(5/2)+1/3`

= `14/3xx2/5+1/3`

= `28/15+1/3`

= `((1 xx 28) + (5 xx 1))/15`  ...(by taking LCM)

`=(28+5)/15`

= `33/15`

`= 2 3/15`

`= 2 1/5`

shaalaa.com
Concept for Fraction as a Division.
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Chapter 14: Fractions - Exercise 14 (D)

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Selina Mathematics [English] Class 6
Chapter 14 Fractions
Exercise 14 (D) | Q 5.1
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