Simplify 3/7 + 5/7 + (- 3)/7 + (- 5)/7 .

1.	Simplify 3/7 + 5/7 + (- 3)/7 + (- 5)/7 .
Answer» $\underline{\underline{\underline{\underline{\mathfrak{\blue{ \:\:\:Solution:-\:\:\:}}}}}} \\$ Question: $\sf {Simplify,\:\dfrac{3}{7} + \dfrac{5}{7} + \dfrac{-3}{7} + \dfrac{-5}{7} } \\\\$ To FIND the sum of three or more rational numbers, we may arrange them in any ORDER we like. The arrangement does not ALTER the sum. Explanation: FIRST Method: $\sf {\dfrac{3}{7} + \dfrac{5}{7} + \dfrac{-3}{7} + \dfrac{-5}{7} } \\\\$ $\longrightarrow \sf {\bigg(\dfrac{3}{7} + \dfrac{-3}{7}\bigg) + \bigg(\dfrac{5}{7} + \dfrac{-5}{7}\bigg) }\\\\$ $\longrightarrow \sf {0 + 0 = 0}\\\\$ Sum of a number and it's additive inverse is zero. Second Method: $\sf {\bigg(\dfrac{3}{7} + \dfrac{5}{7}\bigg) + \bigg(\dfrac{-3}{7} + \dfrac{-5}{7}\bigg) }\\\\$ $\longrightarrow \sf {\bigg(\dfrac{3 + 5}{7}\bigg) + \bigg(\dfrac{-3 + (-5)}{7}\bigg) }\\\\$ $\longrightarrow \sf {\dfrac{8}{7} + \bigg(\dfrac{-3 - 5}{7} \bigg) }\\\\$ $\longrightarrow \sf {\dfrac{8}{7} + \bigg(\dfrac{-8}{7} \bigg) = 0}$

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