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प्रश्न
Simplify:
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उत्तर
\[(\frac{- 9}{4} \times \frac{5}{3}) + (\frac{13}{2} \times \frac{5}{6})\]
\[ = \frac{- 3 \times 5}{4} + \frac{13 \times 5}{12}\]
\[ = \frac{- 15}{4} + \frac{65}{12}\]
\[ = \frac{- 15 \times 3 + 65}{12}\]
\[ = \frac{20}{12} = \frac{5}{3}\]
संबंधित प्रश्न
Simplify:
Subtract the first rational number from the second in each of the following:
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
Divide:
Mark the following pairs of rational numbers on the separate number lines: `3/4` and `- 1/4`
If `p/q` is a rational number, then p cannot be equal to zero.
The overall width in cm of several wide-screen televisions are 97.28 cm, `98 4/9` cm `98 1/25` cm and 97.94 cm. Express these numbers as rational numbers in the form `p/q` and arrange the widths in ascending order.
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)
A skirt that is `35 7/8` cm long has a hem of `3 1/8` cm. How long will the skirt be if the hem is let down?
Write the following numbers in the form `p/q`, where p and q are integers:
Six-eighths
