what should be subtracted from -3/4 to get 5/6 ?
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Let the number that should be subtracted from
![\frac{ - 3}{4} \: be \: x \frac{ - 3}{4} \: be \: x](https://tex.z-dn.net/?f=+%5Cfrac%7B+-+3%7D%7B4%7D++%5C%3A+be+%5C%3A+x)
Hence,
![\frac{ - 3}{4} - x = \frac{5}{6} \\ - x = \frac{5}{6} + \frac{3}{4} \\ - x = \frac{(5 \times 4) + (3 \times 6)}{(6 \times 4)} \\ - x = \frac{20 + 18}{24} \\ - x = \frac{38}{24} \\ - x = \frac{19}{12} \\ x = - \frac{19}{12} \frac{ - 3}{4} - x = \frac{5}{6} \\ - x = \frac{5}{6} + \frac{3}{4} \\ - x = \frac{(5 \times 4) + (3 \times 6)}{(6 \times 4)} \\ - x = \frac{20 + 18}{24} \\ - x = \frac{38}{24} \\ - x = \frac{19}{12} \\ x = - \frac{19}{12}](https://tex.z-dn.net/?f=+%5Cfrac%7B+-+3%7D%7B4%7D++-+x+%3D++%5Cfrac%7B5%7D%7B6%7D++%5C%5C++-+x+%3D++%5Cfrac%7B5%7D%7B6%7D++%2B++%5Cfrac%7B3%7D%7B4%7D++%5C%5C++-+x+%3D++%5Cfrac%7B%285+%5Ctimes+4%29+%2B+%283+%5Ctimes+6%29%7D%7B%286+%5Ctimes+4%29%7D++%5C%5C++-+x+%3D++%5Cfrac%7B20+%2B+18%7D%7B24%7D++%5C%5C++-+x+%3D++%5Cfrac%7B38%7D%7B24%7D++%5C%5C++-+x+%3D++%5Cfrac%7B19%7D%7B12%7D++%5C%5C+x+%3D++-++%5Cfrac%7B19%7D%7B12%7D+)
Ans:
![- \frac{19}{12} \: should \: be \: subtracted \: from \: - \frac{3}{4} \: to \: get \: \frac{5}{6} . - \frac{19}{12} \: should \: be \: subtracted \: from \: - \frac{3}{4} \: to \: get \: \frac{5}{6} .](https://tex.z-dn.net/?f=++-++%5Cfrac%7B19%7D%7B12%7D++%5C%3A+should+%5C%3A+be+%5C%3A+subtracted+%5C%3A+from+%5C%3A++-++%5Cfrac%7B3%7D%7B4%7D++%5C%3A+to+%5C%3A+get+%5C%3A++%5Cfrac%7B5%7D%7B6%7D+.)
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Hence,
Ans:
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