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16 July, 02:57

Use (, = ) to compare 2/3 and 3/4 A) none of the above B) 2/3> 3/4 C) 2/3 < 3/4 D) 2/3 = 3/4

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  1. 16 July, 04:08
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    Option C: 2/3 < 3/4

    Step-by-step explanation:

    Method 1: (By calculating decimal value)

    2/3 = 0.667 (approx)

    3/4 = 0.75

    Now comparing both values:

    0.75 > 0.667 or we can say 2/3 < 3/4

    Method 2: (By making denominator same)

    For denominators 3 and 4 the LCM would be 12 so,

    Multiply 2/3 with 4/4 to make denominator = 12:

    2*4 / 4*4 = 8/12

    Multiply 3/4 with 3/3 to make denominator = 12:

    3*3 / 4*3 = 9/12

    Now we can decide by comparing numerators (as denominators are same):

    8/12 < 9/12

    so 2/3 < 3/4 (hence proved)
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