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प्रश्न
Simplify:
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उत्तर
\[\frac{- 2}{5} - \frac{- 3}{10} - \frac{- 4}{7}\]
\[\text{Taking the L . C . M .} \hspace{0.167em} \text{of the denominators:} \]
\[\frac{- 28}{70} - \frac{- 21}{70} - \frac{- 40}{70}\]
\[ = \frac{( - 28) - ( - 21) - ( - 40)}{70}\]
\[ = \frac{- 28 + 21 + 40}{70}\]
\[ = \frac{33}{70}\]
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If `1/4` of a ragi adai weighs 120 grams, what will be the weight of `2/3` of the same ragi adai?
Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number `p/q`.
| Month | Above/Below normal (in cm) |
| May | 2.6924 |
| June | 0.6096 |
| July | – 6.9088 |
| August | – 8.636 |
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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