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प्रश्न
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
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उत्तर
\[\frac{5}{3} + \frac{3}{- 2} + \frac{- 7}{3} + 3\]
\[ = \frac{10}{6} + \frac{- 9}{6} + \frac{- 14}{6} + \frac{18}{6}\]
\[ = \frac{10 + ( - 9) + ( - 14) + 18}{6}\]
\[ = \frac{10 - 9 - 14 + 18}{6}\]
\[ = \frac{5}{6}\]
संबंधित प्रश्न
Add the following rational numbers.
\[\frac{- 8}{11} and \frac{- 4}{11}\]
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
Multiply:
Fill in the blanks:
The product of two positive rational numbers is always .....
Fill in the blanks:
The numbers ..... and ..... are their own reciprocals.
Are the following statement true or false ? Give reason for your answer.
- Every whole number is a natural number.
- Every whole number is a rational number.
- Every integer is a rational number.
- Every rational number is a whole number.
Insert a rational number between:
7.6 and 7.7
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.
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 a rational number in which the numerator is less than ‘–7 × 11’ and the denominator is greater than ‘12 + 4’.
