Question

dicide the sum of 5/8 and -11/12 by the difference of 3/7 and 5/4​

Answer 1

Answer:

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

Answer 2

Answer:

5/8+(-11/12) -(3/7+5/4)

5/8-11/12 -(3/7+5/4)

5×3-11×2/24 -(3/7+5/4)

15-22/24 -(3/7+5/4)

-7/24-3/7-5/4

-7/24-12-35/28

-7/24-13/28

-7×7-13×6/168

-49-78/168

-127/168