Question

5. Simplify: 2/5 +3/7+(-6/5)+ (-13/7)
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Answer 1

Answer: -78 / 35

Explanation:

Given

2/5 + 3/7 + (-6/5) + (-13/7)

Combine terms that have the same denominator

= 2/5 + (-6/5) + 3/7 + (-13/7)

= -4/5 - 10/7

Convert denominator by Least Common Multiple (LCM)

= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)

= -28/35 - 50/35

= -78 / 35

Hope this helps!! :)

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Answer 2

`(2)/(5) + (3)/(7) + ( - (6)/(5) ) + ( - (13)/(7) ) \\ (2)/(5) + (3)/(7) - (6)/(5) - (13)/(7) \\ ( (2)/(5) - (6)/(5) ) + ( (3)/(7) - (13)/(7) ) \\ (2 - 6)/(5) + (3 - 13)/(7) \\ ( - 4)/(5) + ( - 10)/(7) \\ ( - 4)/(5) - (10)/(7) \\ ( - 28 - 50)/(35) \\ ( - 78)/(35) \\ - (78)/(35)`