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

Question

Jersey

Mathematics

23 August, 06:54

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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Answers (1)

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Markus Weiss · Answer 1

-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.