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Question
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
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Solution
\[\frac{3}{4} + \frac{5}{6} + \frac{- 7}{8}\]
\[ = \frac{18}{24} + \frac{20}{24} + \frac{- 21}{24}\]
\[ = \frac{18 + 20 + ( - 21)}{24}\]
\[ = \frac{18 + 20 - 21}{24}\]
\[ = \frac{17}{24}\]
RELATED QUESTIONS
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`(2)/(5) and (3)/(4)`
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Which of the following is not true?
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)
Show that x is rational, if x2 = `1 7/9`
