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प्रश्न
Insert a rational number between:
`(3)/(4) and (5)/(7)`
उत्तर
A rational number lying between `(3)/(4) and (5)/(7)`
= `((3)/(4) + (5)/(7))/(2)`
= `((21 + 20)/(28))/(2)`
= `((41)/(28))/(2)`
= `(41)/(56)`
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संबंधित प्रश्न
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
Simplify:
Simplify:
Find (x + y) ÷ (x − y), if
Write the following rational numbers in `bb(p/q)` form.
\[\ce{0.\overset{\bullet}{6}}\]
State, True Or False
`7/9=(7xx5)/(9xx5)`
The rational numbers `(-8)/3` and `8/3` are equidistant from __________
Select those which can be written as a rational number with denominator 4 in their lowest form:
`7/8, 64/16, 36/(-12), (-16)/17, 5/(-4), 140/28`
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` |
- Is the rational number expressing the amount of paper recycled more than `1/2` or less than `1/2`?
- Which items have a recycled amount less than `1/2`?
- Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?
- 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)
