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27 February, 14:54

What rational number lies in between - 14/31 and - 17/33? A. - 989/3069 B. - 123/276 C. - 989/2046 D. - 4/7

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  1. 27 February, 16:00
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    -14/31 and - 17/33

    -17/33 - (-14/31) = (-17/33*31/31) - (-14/31*33/33) = - 527/1023 + 462/1023

    = (-527+462) / 1023 = - 65/1023

    -65/1023 : 2 = - 65/1023 * 1/2 = - 65/2046

    -17/33 - (-65/2046) = (-17/33*62/62) - (-65/2046) = - 1054/2046 + 65/2046

    = - 989/2046 Choice C.
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Home » Mathematics » What rational number lies in between - 14/31 and - 17/33? A. - 989/3069 B. - 123/276 C. - 989/2046 D. - 4/7
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