The table shows the fractions of the Australian workforce in some industries.
Which of these industries has the least number of employees in the workforce?
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Automotive |
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Finance |
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Health Care |
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Telecommunications |
Aussie Maths & Science Teachers: Save your time with SmarterEd
The table shows the fractions of the Australian workforce in some industries.
Which of these industries has the least number of employees in the workforce?
|
Automotive |
|
Finance |
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Health Care |
|
Telecommunications |
`text(Finance)`
`text(The smallest fraction is)\ \ 1/30.`
`:.\ text(The finance industry has least number.)`
Which set of fractions is ordered smallest to largest?
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`1/6, 5/24, 1/4, 5/8, 1/2` |
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`1/4, 7/24, 1/3, 5/12, 1/2` |
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`1/6, 7/24, 5/12, 3/8, 2/3` |
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`1/4, 1/3, 7/24, 3/12, 1/2` |
`1/4, 7/24, 1/3, 5/12, 1/2`
`text(Converting option 2 to a common denominator:)`
`1/4, 7/24, 1/3, 5/12, 1/2\ \ text(becomes:)`
`6/24, 7/24, 8/24, 10/24, 12/24`
`=>\ text(Smallest to largest.)`
Which of these fractions has the greatest value?
`2/3` | `19/24` | `5/6` | `14/16` |
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`14/16`
`text(Lowest common denominator = 48)`
`2/3 xx 16/16` | `= 32/48` |
`19/24 xx 2/2` | `= 38/48` |
`5/6 xx 8/8` | `= 40/48` |
`14/16 xx 3/3` | `= 42/48` |
`:. 14/16\ text(has the greatest value.)`
Matt and Libby both bought the same sized box of chocolates.
Matt ate `5/6` of his box.
Libby ate more chocolates than Matt.
What fraction of her chocolates could Libby have eaten?
`4/5` | `5/7` | `6/7` | `7/9` |
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`6/7`
`6/7 > 5/6`
`=>\ text(All other fractions are smaller than)\ \ 5/6.`