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प्रश्न
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
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उत्तर
\[\frac{15}{2} + \frac{9}{8} + \frac{- 11}{3} + 6 + \frac{- 7}{6}\]
\[ = \frac{180}{24} + \frac{27}{24} + \frac{- 88}{24} + \frac{144}{24} + \frac{- 28}{24}\]
\[ = \frac{180 + 27 + ( - 88) + 144 + ( - 28)}{24}\]
\[ = \frac{180 + 27 - 88 + 144 - 28}{24}\]
\[ = \frac{235}{24}\]
संबंधित प्रश्न
Add the following rational numbers:
Simplify:
Add and express the sum as a mixed fraction:
Re-arrange suitably and find the sum in each of the following:
Fill in the blanks:
The product of a positive rational number and a negative rational number is always .....
Insert a rational number between:
101 and 102
The table shows the portion of some common materials that are recycled.
| Material | Recycled |
| Paper | `5/11` |
| Aluminium cans | `5/8` |
| Glass | `2/5` |
| Scrap | `3/4` |
Arrange the rate of recycling the materials from the greatest to the smallest.
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:
One-fourth
Write any three rational number between the two number given below.
5.2 and 5.3
