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प्रश्न
Arrange the following rational numbers in ascending order.
`(4)/(5),(6)/(7) and (7)/(10)`
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उत्तर
Given number : `(4)/(5),(6)/(7) and (7)/(10)`
The L.C.M. of 5, 7 and 10 is 70.
Thus, numbers are :
`(4)/(5)`
= `(4 xx 14)/(5 xx 14)`
= `(56)/(70)`;
`(6)/(7)`
= `(6 xx 10)/(7 xx 10)`
= `(60)/(70)`
and `(7)/(10)`
= `(7 xx 7)/(10 xx 7)`
= `(49)/(70)`.
Since 49 < 56 < 60, we have `(7)/(10) < (4)/(5) < (6)/(7)`.
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संबंधित प्रश्न
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The average life expectancies of males for several states are shown in the table. Express each decimal in the form `p/q` and arrange the states from the least to the greatest male life expectancy. State-wise data are included below; more indicators can be found in the “FACTFILE” section on the homepage for each state.
| State | Male | `bb(p/q)` form | Lowest terms |
| Andhra Pradesh | 61.6 | ||
| Assam | 57.1 | ||
| Bihar | 60.7 | ||
| Gujarat | 61.9 | ||
| Haryana | 64.1 | ||
| Himachal Pradesh | 65.1 | ||
| Karnataka | 62.4 | ||
| Kerala | 70.6 | ||
| Madhya Pradesh | 56.5 | ||
| Maharashtra | 64.5 | ||
| Orissa | 57.6 | ||
| Punjab | 66.9 | ||
| Rajasthan | 59.8 | ||
| Tamil Nadu | 63.7 | ||
| Uttar Pradesh | 58.9 | ||
| West Bengal | 62.8 | ||
| India | 60.8 |
Source: Registrar General of India (2003) SRS Based Abridged Lefe Tables. SRS Analytical Studies, Report No. 3 of 2003, New Delhi: Registrar General of India. The data are for the 1995-99 period; states subsequently divided are therefore included in their pre-partition states (Chhatisgarh in MP, Uttaranchal in UP and Jharkhand in Bihar)
Write the following numbers in the form `p/q`, where p and q are integers:
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