Question

30 POINTS AND BRAINLIEST !! Put the missing numbers in these sequences

44. 1/6, 1/3 , 1/2, __, 5/6

45. 3/8, 7/8, 1 and 3/8, __, 2 and 3/8

46. 5/12, 1 and 11/12 , 3 and 5/12, __

Answers

  1. 44. 2/3
    45. 1 and 7/8
    46. 2 and 11/12
    Answer:
    Solution given:
    44. 1/6, 1/3 , 1/2, 2/3_, 5/6
    step:
    Solving the fractions
    1/6 = 0.1667 = 1/6
    1/3 = 0.333 = 2/6
    1/2 = 0.5 = 3/6
    2/3 = 0.666 = 4/6
    Difference between all these decimal numbers is 0.167
    So, for next 4th numbers add 0.167 .
    4th number = 3/6+1/6=4/6=2/3
    45. 3/8, 7/8, 1 and 3/8, _1 and 7/8_, 2 and 3/8
    3/8,7/8,11/8,___,19/8
    difference =7/8-3/8=4/8=1/2
    adding 1/2 in 1 and 3/8, we get
    11/8+1/2=(11+4)/8=15/8 =1 and 7/8
    46.
    5/12, 1 and 11/12 , 3 and 5/12, 2 and 11/12
    5/12,23/12,41/12,__
    difference= 23/12-5/12=18/12=9/6=3/2
    adding 3/2 with 3 and 5/12
    17/12+3/2=(17+3*6)/12=35/12 =2 and 11/12

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