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प्रश्न
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]\[\frac{- 11}{2} + \frac{7}{6} + \frac{- 5}{8}\]
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उत्तर
\[\frac{- 11}{2} + \frac{7}{6} + \frac{- 5}{8}\]
\[ = \frac{- 132}{24} + \frac{28}{24} + \frac{- 15}{24}\]
\[ = \frac{( - 132) + 28 + ( - 15)}{24}\]
\[ = \frac{- 132 + 28 - 15}{24}\]
\[ = \frac{- 119}{24}\]
संबंधित प्रश्न
Re-arrange suitably and find the sum in each of the following:
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Simplify each of the following and express the result as a rational number in standard form:
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Are the following statement true or false ? Give reason for your answer.
- Every whole number is a natural number.
- Every whole number is a rational number.
- Every integer is a rational number.
- Every rational number is a whole number.
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)
Every natural number is a rational number but every rational number need not be a natural number.
Write the following numbers in the form `p/q`, where p and q are integers:
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