divide the sum of the rational number5/7 and 11/3 by the difference of 6/13and -17/5
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Step-by-step explanation:
Sum of 5/8 and -11/12 = 5/8 + (-11/12)
= 5/8 – 11/12
= (5 × 3) – (11 × 2)
= 5/8 – 11/12
= [(5 × 3) – (11 × 2)]/24
(∵ LCM of 8 and 12 = 24)
= (15 – 22)/24 = -7/24
Now, difference of 3/7 and 5/14
= 3/7 – 5/14 or 5/14 – 3/7
= [(3 × 2) – (5 × 1)]/14 or [5 – (3 × 2)]/14
(∵ LCM of 7 and 13 = 14)
= (6 – 5)/14 or (5 -6)/14 = 1/14 or -1/14
Now divide -7/24 by 1/14 or -1/14
= (-7/24/1/14) or (-7/24 × (-14/1)
= (-7/24) × 14/1 or -7/24 × -14/1
= -49/12 or 49/12 = -4. 1/12 or 4. 1/12
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