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Question
Simplify:
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Solution
\[ (\frac{13}{7} \times \frac{11}{26}) - (\frac{- 4}{3} \times \frac{5}{6})\]
\[ = \frac{1 \times 11}{7 \times 2} - \frac{- 2 \times 5}{3 \times 3}\]
\[ = \frac{11}{14} - \frac{- 10}{9}\]
\[ = \frac{11 \times 9 + 10 \times 14}{126}\]
\[ = \frac{239}{126}\]
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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.
