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Question
Write three rational numbers that lie between the two given numbers.
`- 2/3 , 4/5`
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Solution
The given numbers are `-2/3 "and" 4/5`
Let us convert each of given numbers into fractions with equal denominators.
`-2/3 = (-2xx5)/(3xx5) = - 10/15`
`4/5 = (4xx3)/(5xx3) = 12/15`
We know that,
- 10 < - 9 < - 8 < - 7 <.........< 1 < 2 < 3 < 4 < ......< 12
`=> - 2/3 < -9/15 < -8/15 < -7/15 <.....<1/15<2/15<3/15<4/15<.......<4/15`
Hence, 3 rational numbers between `- 2/3 "and" 4/5` are:
`- 9/15, - 7/15` and `4/15`.
RELATED QUESTIONS
List five rational numbers between `(-4)/5 "and" (-2)/3`.
Fill in the box with the correct symbol out of >, <, and =.
`(-5)/7 square2/3`
Fill in the boxes with the correct symbol out of >, < and =.
`(-8)/5square(-7)/4`
Write three rational number that lie between the two given number.
`4/5, 2/3`
Write three rational numbers that lie between the two given numbers.
`-3/4 , 5/4`
Write three rational numbers that lie between the two given numbers.
`5/7`, `11/7`
Simplify : `1/2 + (3/2 - 2/5) ÷ 3/10 xx 3` and show that it is a rational number between 11 and 12
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?
`5/6 square 8/4`
Two rationals with different numerators can never be equal.
