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Question
Find the value and express as a rational number in standard form:
\[\frac{- 36}{125} \div \frac{- 3}{75}\]
Sum
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Solution
\[\frac{- 36}{125} \div \frac{- 3}{75} = \frac{- 36}{125} \times \frac{75}{- 3} = \frac{36}{5}\]
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RELATED QUESTIONS
Add the following rational numbers.
\[\frac{- 8}{11} and \frac{- 4}{11}\]
Re-arrange suitably and find the sum in each of the following:
\[\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}\]
Subtract the first rational number from the second in each of the following:
\[\frac{1}{4}, \frac{- 3}{8}\]
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
\[\frac{2}{3} + \frac{- 5}{6} + \frac{- 7}{9}\]
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\[\frac{- 3}{2} + \frac{5}{4} - \frac{7}{4}\]
Multiply:
\[\frac{5}{7} \text{by} \frac{- 3}{4}\]
Simplify:
\[\left( \frac{1}{4} \times \frac{2}{7} \right) - \left( \frac{5}{14} \times \frac{- 2}{3} \right) + \left( \frac{3}{7} \times \frac{9}{2} \right)\]
For every rational number x, x × 0 = x.
Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mall. If allowance of each is Rs. 1260 find the amount left with each.
| Where money goes | Fraction of allowance | |
| Manavi | Kuber | |
| Saving Account | `1/2` | `1/3` |
| Spend at mall | `1/4` | `3/5` |
| Left over | ? | ? |
Show that x is rational, if x2 = 0.0004.
