Write the following fractions in order from largest to smallest. (2 marks)
`5/8, 1/4, 5/24, 1/2, 1/6`
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Write the following fractions in order from largest to smallest. (2 marks)
`5/8, 1/4, 5/24, 1/2, 1/6`
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`5/8, 1/2, 1/4, 5/24, 1/6`
`text(Lowest common denominator)\ = 24`
`text(Converted fractions:)\ ` | `5/8 xx 3/3` | `=15/24\ …1` |
`1/4 xx 6/6` | `=6/24\ …3` | |
`5/24` | `=5/24\ …4` | |
`1/2 xx 12/12` | `=12/24\ …2` | |
`1/6 xx 4/4` | `=4/24\ … 5` |
`:.\ text(Order from largest to smallest) =>\ 5/8, 1/2, 1/4, 5/24, 1/6`
Which set of fractions is ordered smallest to largest?
`B`
`text(Converting option B to the lowest common denominator of 24:)`
`1/4, 7/24, 1/3, 5/12, 1/2\ \ =>\ 6/24, 7/24, 8/24, 10/24, 12/24`
`=> B`
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i. `-1 1/5 , -2/6 , 1/3 `
ii.
i. `text(Ascending order)\ =>\ -1 1/5 , -2/6 , 1/3 `
ii.
The table shows the fractions of the Australian workforce in some industries.
\begin{array} {|l|c|}
\hline \ & \textbf{Fraction of the} \\ \textbf{Industry} \ & \textbf{Australian workforce} \\
\hline \text{Automotive} & \dfrac{1}{12} \\
\hline \text{Finance} & \dfrac{1}{13} \\
\hline \text{Health Care} & \dfrac{1}{7} \\
\hline \text{Telecommunications} & \dfrac{1}{10} \\
\hline \end{array}
Which of these industries has the least number of employees in the workforce? (1 mark)
`text(Finance)`
`text(The smallest fraction is)\ \ 1/13. (The smallest fraction has the largest denominator)`
`:.\ text(The finance industry has least number of employees.)`