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Question
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)
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Solution
| State | Male | `bb(p/q)` form | Lowest terms |
| Andhra Pradesh | 61.6 | `bb(616/10)` | `bb(308/5)` |
| Assam | 57.1 | `bb(571/10)` | `bb(571/10)` |
| Bihar | 60.7 | `bb(607/10)` | `bb(607/10)` |
| Gujarat | 61.9 | `bb(619/10)` | `bb(619/10)` |
| Haryana | 64.1 | `bb(641/10)` | `bb(641/10)` |
| Himachal Pradesh | 65.1 | `bb(651/10)` | `bb(651/10)` |
| Karnataka | 62.4 | `bb(624/10)` | `bb(312/5)` |
| Kerala | 70.6 | `bb(706/10)` | `bb(353/5)` |
| Madhya Pradesh | 56.5 | `bb(565/10)` | `bb(113/2)` |
| Maharashtra | 64.5 | `bb(645/10)` | `bb(129/2)` |
| Orissa | 57.6 | `bb(576/10)` | `bb(288/5)` |
| Punjab | 66.9 | `bb(669/10)` | `bb(669/10)` |
| Rajasthan | 59.8 | `bb(598/10)` | `bb(299/5)` |
| Tamil Nadu | 63.7 | `bb(637/10)` | `bb(637/10)` |
| Uttar Pradesh | 58.9 | `bb(589/10)` | `bb(589/10)` |
| West Bengal | 62.8 | `bb(628/10)` | `bb(314/5)` |
| India | 60.8 | `bb(608/10)` | `bb(304/5)` |
Arrangement of the states from the least to the greatest male life expectancy, Haryana, Tamil Nadu, West Bengal, Karnataka, Gujarat, Andhra Pradesh, Bihar, Rajasthan, Uttar Pradesh, Orissa, Assam, Madhya Pradesh.
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