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Answer:
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STEP BY STEP EXPLANATION
1. -4/3 and 3/7
LHS = -4/3 + 3/7
= LCM of 3,7 = 21
= -4/3 × 7/7 = -28/21
= 3/7 × 3/3 = 9/21
= -28 +9/21 = -19/21
RHS = 3/7 + -4/3
= LCM of 7,3 = 21
= 3/7 × 3/3 = 9/21
= -4/3 × 7/7 = -28/21
= +9 -28/21 = -19/21
LHS=RHS
2. -2/-5 and 1/3
LHS = -2/-5 + 1/3
= LCM of -5,3 = 15
= -2/-5 × 3/3 = -6/-15
= 1/3 × 5/5 = 5/15
= -6 +5/-15 = -1/-15 = 1/15
RHS = 1/3 + -2/-5
= LCM of 3,-5 = 15
= 1/3 × 5/5 = 5/15
= -2/-5 × 3/3 = -6/-15
= +5 -6/-15 = -1/-15 = 1/15
LHS = RHS
3. 9/11 and 2/13
LHS = 9/11 + 2/13
= LCM of 11,13 = 143
= 9/11 × 13/13 = 117/143
= 2/13 × 11/11 = 22/143
= 117 + 22/143 = 139/143
RHS = 2/13 + 9/11
= LCM of 13,11 = 143
= 2/13 × 11/11 = 22/143
= 9/11 × 13/13 = 117/143
= 22 + 117/143 = 139/143
LHS = RHS