Evaluate 3/5+7/3+[-2/5]+[-2/3] after rearragement.

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Solution

Given problem is,

3/5 + 7/3 + ( - 2/ 5 ) + ( - 2 / 3 )

= 3 / 5 + ( - 2 / 5 ) + 7 /3 + ( - 2 / 3 )

[ rearranged the like fractions at one place ]

= 3 / 5 - 2 / 5 + 7 / 3 - 2 / 3 [ since + × - = - ]

= ( 3 - 2 ) / 5 + ( 7 - 2 ) /3

= 1 / 5 + 5 / 3

LCM of 5 and 3 = 5 × 3 = 15

= ( 3 + 25 ) / 15

= 28 / 15

Suggest Corrections

143

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