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Question
Simplify:
\[\left( \frac{1}{4} \times \frac{2}{7} \right) - \left( \frac{5}{14} \times \frac{- 2}{3} \right) + \left( \frac{3}{7} \times \frac{9}{2} \right)\]
Sum
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Solution
\[(\frac{1}{4} \times \frac{2}{7}) - (\frac{5}{14} \times \frac{- 2}{3}) + (\frac{3}{7} \times \frac{9}{2})\]
\[ = \frac{1}{14} - \frac{- 5}{21} + \frac{27}{14}\]
\[ = \frac{1 \times 3 + 5 \times 2 + 27 \times 3}{42}\]
\[ = \frac{94}{42} = \frac{47}{21}\]
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RELATED QUESTIONS
Evaluate each of the following:
\[\frac{2}{3} - \frac{3}{5}\]
What should be added to \[\left( \frac{1}{2} + \frac{1}{3} + \frac{1}{5} \right)\] to get 3?
Multiply:
\[\frac{7}{11} \text{by} \frac{5}{4}\]
Multiply:
\[- \frac{3}{5} \text{by} - \frac{4}{7}\]
Simplify each of the following and express the result as a rational number in standard form:
\[\frac{- 13}{9} \times \frac{27}{- 26}\]
Fill in the blanks:
(17 × 12)−1 = 17−1 × .....
Fill in the blanks:
\[- 4 \times \frac{7}{9} = \frac{7}{9} \times . . . . . .\]
Insert a rational number between:
`(5)/(9) and (6)/(7)`
Arrange the following rational numbers in descending order.
`(4)/(3), (-14)/(5) and (17)/(15)`
Put the (✓), wherever applicable
| Number | Natural Number |
Whole Number |
Integer | Fraction | Rational Number |
| (a) – 114 | |||||
| (b) `19/27` | |||||
| (c) `623/1` | |||||
| (d) `-19 3/4` | |||||
| (e) `73/71` | |||||
| (f) 0 |
