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प्रश्न
Write three rational numbers that lie between the two given numbers.
0, `(-3)/4`
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उत्तर
The given numbers are `0, (-3)/4`
Let us convert each of the given numbers into fractions with equal denominators.
0 = `(0 xx 8)/(1 xx 8) = 0/8`
`(-3)/4 = (-3xx2)/(4xx2) = (-6)/8`
We know that,
-6 < -5 < -4 < -3 < -2 < -1 < 0
`therefore (-6)/8 < (-5)/8 < (-4)/8 < (-3)/8 < (-2)/8 < (-1)/8 < 0/8`
`=> (-3)/4 < (-5)/8 < (-4)/8 < (-3)/8 <(-2)/8 < (-1)/8 < 0`
Hence, 3 rational numbers between `(-3)/4` and 0 are:
`(-5)/8, (-2)/8` and `(-1)/8`
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