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Fractions, SM-Bank 011

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`

Show Worked Solution

`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`

Filed Under: Fractions Tagged With: num-title-ct-core, smc-4460-25-Ordering Fractions

Fractions, SM-Bank 010 MC

Which set of fractions is ordered smallest to largest?

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

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`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`

Filed Under: Fractions Tagged With: num-title-ct-core, smc-4460-25-Ordering Fractions

Fractions, SM-Bank 008

  1. Write the following fractions in ascending order.  (1 mark)
     
    ` -2/6, 1/3 and -1 1/5?`

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  2. Graph the fractions in part (i) on the number line below.  (1 mark)

      

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i.   `-1 1/5 ,  -2/6 ,  1/3 `

ii.   

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i.    `text(Ascending order)\ =>\ -1 1/5 ,  -2/6 ,  1/3 `

ii.   

Filed Under: Fractions Tagged With: num-title-ct-core, smc-4460-10-Fractions and Number Lines, smc-4460-25-Ordering Fractions

Fractions, SM-Bank 005

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)

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`text(Finance)`

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`text(The smallest fraction is)\ \ 1/13. (The smallest fraction has the largest denominator)`

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

Filed Under: Fractions Tagged With: num-title-ct-core, smc-4460-25-Ordering Fractions

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