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प्रश्न
Simplify:
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उत्तर
\[ (\frac{13}{7} \times \frac{11}{26}) - (\frac{- 4}{3} \times \frac{5}{6})\]
\[ = \frac{1 \times 11}{7 \times 2} - \frac{- 2 \times 5}{3 \times 3}\]
\[ = \frac{11}{14} - \frac{- 10}{9}\]
\[ = \frac{11 \times 9 + 10 \times 14}{126}\]
\[ = \frac{239}{126}\]
संबंधित प्रश्न
Multiply:
Multiply:
Fill in the blanks:
Reciprocal of\[\frac{1}{a}, a \neq 0\]
By what number should `(- 33)/16` be divided to get `(-11)/4`?
Insert one rational number between 2 and 3.2.
The numerical expression `3/8 + ((-5))/7 = (-19)/56` shows that ______
0 is the smallest rational number.
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 a rational number in which the numerator is less than ‘–7 × 11’ and the denominator is greater than ‘12 + 4’.
