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प्रश्न
Write three rational numbers that lie between the two given numbers.
`7/8, (-5)/3`
उत्तर
The given numbers are `7/8 "and" - 5/3`
Let us convert each of the given numbers into fractions with equal denominators.
`7/8 = (7 xx 3)/(8 xx 3) = 21/24`
`- 5/3 = (-5 xx 8)/(3 xx 8) = (-40)/24`
We know that,
-40 < −39 < .....< −13 < −12 < .....< 11 < 12 < ....<17 < .... 21
`therefore - 40/24 < - 39/24 < .....< -13/24 < -12/24 < ......<11/24 < 12/24 < .....< 17/24 < .....< 21/24`
`=> (-5)/3 < (-39)/24 < ....< (-13)/24 < (-12)/24 < .....< 11/24 < 12/24 <.....< 17/24 <.....< 7/8`
Hence, 3 rational numbers between `7/8 "and" (-5)/3` are:
`(-13)/24, 11/24` and `17/24`
संबंधित प्रश्न
Write four more rational numbers in the following pattern:
`(-1)/6, 2/(-12), 3/(-18), 4/(-24)`
Which of the following pair represent the same rational number?
`(-7)/21 "and" 3/9`
Which of the following pairs represent the same rational number?
`(-2)/(-3) "and" 2/3`
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Fill in the box with the correct symbol out of >, <, and =.
`(-7)/8 square14/(-16)`
Between two given rational numbers, we can find ______
Between any two rational numbers there are exactly ten rational numbers.
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