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प्रश्न
Divide the sum of \[\frac{65}{12} \text{and}\ \frac{12}{7}\] by their difference.
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उत्तर
\[(\frac{65}{12} + \frac{12}{7}) \div (\frac{65}{12} - \frac{12}{7})\]
\[ = \frac{65 \times 7 + 12 \times 12}{84} \div \frac{65 \times 7 - 12 \times 12}{84}\]
\[ = \frac{455 + 144}{84} \div \frac{455 - 144}{84}\]
\[ = \frac{599}{84} \div \frac{311}{84}\]
\[ = \frac{599}{84} \times \frac{84}{311}\]
\[ = \frac{599}{311}\]
संबंधित प्रश्न
Re-arrange suitably and find the sum in each of the following:
The sum of two numbers is \[\frac{- 1}{3} .\] If one of the numbers is \[\frac{- 12}{3},\] find the other.
What should be added to \[\left( \frac{1}{2} + \frac{1}{3} + \frac{1}{5} \right)\] to get 3?
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
Find (x + y) ÷ (x − y), if
Find (x + y) ÷ (x − y), if
Compare: `(-7)/2` and `5/2`
Arrange the following rational numbers in ascending order.
`(7)/(4), (-6)/(5) and (-5)/(2)`
The diagram shows the wingspans of different species of birds. Use the diagram to answer the question given below:
| Golden eagle | Blue jay |
 |
 |
How much longer is the wingspan of a Golden eagle than the wingspan of a Blue jay?
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)
