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प्रश्न
Simplify:
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उत्तर
\[\frac{7}{9} + \frac{3}{- 4} = \frac{7}{9} + \frac{- 3}{4}\]
\[\text{L.C.M. of thedenominators 9 and 4 is 36}.\]
\[\text{Now, we willexpress}\frac{7}{9}\text{and}\frac{- 3}{4}\text{in the form in which they take thedenominator 36.}\]
\[\frac{7 \times 4}{9 \times 4} = \frac{28}{36}\]
\[\frac{- 3 \times 9}{4 \times 9} = \frac{- 27}{36}\]
\[\text{So}\]
\[\frac{7}{9} + \frac{- 3}{4} = \frac{28}{36} + \frac{- 27}{36}\]
\[ = \frac{28 + ( - 27)}{36}\]
\[ = \frac{28 - 27}{36}\]
\[ = \frac{1}{36}\]
संबंधित प्रश्न
Add the following rational numbers:
Subtract the first rational number from the second in each of the following:
Evaluate each of the following:
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
Find any five rational numbers less than 2.
Write the following rational numbers in `p/q` form.
`3.bar17`
For each set of rational number, given below, verify the associative property of addition of rational number:
(iv) `-1, 5/6 and (-2)/3`
Solve the following: Select the rational numbers from the list which are also the integers.
`9/4, 8/4, 7/4, 6/4, 9/3, 8/3, 7/3, 6/3, 5/2, 4/2, 3/1, 3/2, 1/1, 0/1, (-1)/1, (-2)/1, (-3)/2, (-4)/2, (-5)/2, (-6)/2`
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.
Write the following numbers in the form `p/q`, where p and q are integers:
Opposite of three-fifths
