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Question
Arrange the following rational numbers in ascending order.
`(-7)/(12), (-3)/(10) and (-2)/(5)`
Solution
Given number : `(-7)/(12), (-3)/(10) and (-2)/(5)`
The L.C.M. of 12, 10 and 5 is 60.
Thus, numbers are:
`(-7)/(12)`
= `(-7 xx 5)/(12 xx 5)`
= `(-35)/(60)`;
`(-3)/(10)`
= `(-3 xx 6)/(10 xx 6)`
= `(-18)/(60)`;
`(-2)/(5)`
= `(-2 xx 10)/(5 xx 10)`
= `(-20)/(60)`
Since -35 < -20 < -18, we have `(-7)/(12) < (-2)/(5) < (-3)/(10)`.
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| 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 | ||
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| Orissa | 57.6 | ||
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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)
