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Question

Simplify: 3/7+(−6/11)+(−8/21)+5/22

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Solution

We have,

3/7+(−6/11)+(−8/21)+5/22

=3/7−8/21+5/22−6/11

=(9−8)/21+(5−12)/22 (Taking pairwise LCM)

=1/21−7/22

=(22−147)/(21×22)

=−125/462

Hence, the value is −125/462.


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