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Number, NAP-L3-CA07

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
 
Health Care
 
Telecommunications
Show Answers Only

`text(Finance)`

Show Worked Solution

`text(The smallest fraction is)\ \ 1/30.`

`:.\ text(The finance industry has least number.)`

Filed Under: Fractions, Fractions Tagged With: Band 6, smc-3145-10-Fraction order, smc-3145-30-Word problems, smc-662-10-Fraction order, smc-662-30-Word problems

Number, NAP-B3-NC30

Which set of fractions is ordered smallest to largest?

 
`1/6, 5/24, 1/4, 5/8, 1/2`
 
`1/4, 7/24, 1/3, 5/12, 1/2`
 
`1/6, 7/24, 5/12, 3/8, 2/3`
 
`1/4, 1/3, 7/24, 3/12, 1/2`
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`1/4, 7/24, 1/3, 5/12, 1/2`

Show Worked Solution

`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.)`

Filed Under: Fractions, Fractions Tagged With: Band 10, smc-3145-10-Fraction order, smc-662-10-Fraction order

Number, NAP-D3-NC28

Which of these fractions has the greatest value?

`2/3` `19/24` `5/6` `14/16`
 
 
 
 
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`14/16`

Show Worked Solution

`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.)`

Filed Under: Fractions, Fractions Tagged With: Band 9, smc-3145-10-Fraction order, smc-662-10-Fraction order

Numbers, NAP-I3-NC20

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`

Show Worked Solution

`6/7 > 5/6`

`=>\ text(All other fractions are smaller than)\ \ 5/6.`

Filed Under: Fractions, Fractions Tagged With: Band 7, smc-3145-10-Fraction order, smc-3145-30-Word problems, smc-662-10-Fraction order, smc-662-30-Word problems

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