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Question

Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.

Sum

Solution

`2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`

`= 2/5 xx (-3)/7 - 3/7 xx 3/5 - 1/14`    .......(by commutativity)

`= 2/5 xx (-3)/7 + ((-3)/7) xx 3/5 - 1/14`.

`= (-3)/7(2/5 + 3/5) - 1/14`                .......(by distributivity)

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

`= (- 6 - 1)/14`

`= -1/2`.

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