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प्रश्न
Write three rational numbers that lie between the two given numbers.
`7/8, (-5)/3`
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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
Find five rational numbers between `(-3)/2 " and " 5/3`
Which of the following pairs represent the same rational number?
`(-16)/20 "and" 20/(-25)`
Fill in the boxes with the correct symbol out of >, < and =.
`(-8)/5square(-7)/4`
Which is greater in the following?
`-3 2/7, -3 4/5`
List any five rational numbers between the given rational numbers
`(-6)/4` and `(-23)/10`
Use the method of average to write 2 rational numbers between `14/5` and `16/3`
Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.
| Name | Distance covered (km) |
| Seema | `1/25` |
| Nancy | `1/32` |
| Megha | `1/40` |
| Soni | `1/20` |
- How farther did Soni hop than Nancy?
- What is the total distance covered by Seema and Megha?
- Who walked farther, Nancy or Megha?
How many rational numbers are there between two rational numbers?
Two rationals with different numerators can never be equal.
Which is greater in the following?
`-3 5/7, 3 1/9`
