41. 1/X
= 4 – (1/3 + ½ )= 4 – (2 + 3/6) = 4 – ( 2 + 3/6) = 4 – 5/6 = 24-5 /6 =
19/6 X = 6/19.
42. Given
exp. = (-2/3 – 1/3 ) + (4/5 +1/5) + (3/4 – 1/2) / (2/3 – 4/3 + 1/3) –( 1/5 +
4/5) + 1/2
=-1 + 1 +1/4 / -1/3 – 1+ 1/2
= 1/4 / -2 -6 +3 / 6 = ¼ / -5/6
= ¼ x (-6/5) = -3/10/
43. Given
exp. = 5 – [ ¾ + { 5/2 – ( ½ + 7-6/42)}] = 5 – [3/4 + {5/2 – (1/2 + 1/42)}
]
= 5 –[3/4 + {5/2 – 22/42}] = 5 – [3/4 + 83 /42] = 5 – 229/84
= (420 – 229/84) = 191/84 = 2 23 /84.
44. (1/2
– ¼ + 1/5 -1/6) /(2/5 – 5/9 + 3/5 – 7/18) = (30 – 15 + 12 – 10) 60 / (2/5 + 3/5
) – ( 5/9 + 7/18) = (17 / 60 x 18) = 51 / 10 = 5 1/10.
45. (34
x 4 ½ ) = 34 x (4 +1/2) = (34 x 4) + (34 x ½)
=(30 + 4) x 4 + (34 x 1/2) = ( 30 x 4) + ( 4 x 4) + ( 34 x ½).
46. Given
exp. = (3 / 5 x 4/7 x 5/ 9 x 21/ 24 x 504) =84.
47. Given
exp. = (41 /6 x 16 / 3 + 53 / 3 x 9/2) = (328 / 9 +159/2) = 656 + 1431 /18
=2087 / 19 = 115 17/18.
48. Let
3/8 of 168 x 15 + 5 + X= 549 ÷ 9 + 235.
Then, 63 x 15 ÷ 5 + X = 61 + 235
