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Fractions, SM-Bank 061

Transmission Oils import engine oil.

They sell one brand of engine oil at `2 1/4` times the wholesale price.

If the wholesale price is $12 per litre, what is the selling price per litre?  (2 marks)

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`$27\ text(per litre)`

Show Worked Solution

`text(Wholesale price) = $12\ text(per litre)`

`text(Sale price)` `= 2 1/4 xx 12`
  `= 9/4 xx 12`
  `= 9 xx 3`
  `=27`

 
`:.\ text(The selling price per litre)\ = $27`

Fractions, SM-Bank 057 MC

Mallory has  `3/8`  cup of raisins.

She needs  `3/4`  cup of raisins for a fruit cake she is making.

How many more cups of raisins does Mallory need for the recipe?

  1. `1/8\ text(cup)`
  2. `1/4\ text(cup)`
  3. `3/8\ text(cup)`
  4. `1/2\ text(cup)`
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`C`

Show Worked Solution
`text(Raisins needed)` `= 3/4-3/8`
  `=6/8-3/8`
  ` =3/8\ text(cup)`

 
`=> C`

Fractions, SM-Bank 056

Sally makes bird feeders to hang in her garden.

The table below shows the fraction of the bird feeder eaten each day by the birds. 

\begin{array} {|l|c|c|}
\hline \textbf{Day} & \textbf{Fraction Eaten} \\
\hline \text{Monday}  &  3/10\\
\hline \text{Tuesday} & 1/5  \\
\hline \text{Wednesday} &  1/4  \\
\hline \text{Thursday} & ?   \\
\hline \end{array}

  1. If the whole feeder was consumed in four days, what fraction did the birds eat on Thursday?  (2 marks)

  2. The bird feeder weighs 5 kilograms. How many kilograms were consumed on Monday?  (2 marks)

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a.    `1/4`

b.    `1 1/2\ text(kilograms)`

Show Worked Solution
a.    `text(Eaten Thursday)` `= 1-(3/10+1/5+1/4)`
  `= 1-(6/20+4/20+5/20)`
  `= 1-15/20`
  `=5/20=1/4`

 

b.    `text(Monday Kilograms)` `= 3/10 xx 5`
  `= 15/10`
  `= 1 1/2\ text(kilograms)`

Fractions, SM-Bank 047

Mike is downloading a complete hard drive onto his new computer.

It should take 24 minutes to download the full hard drive.

Mike loses his internet connection when  `5/6`  of the hard drive is downloaded.

How many more minutes are needed for Mike to complete the download?  (2 marks)

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`text(4 minutes)`

Show Worked Solution

`5/6 xx 24 =\ text(20 minutes)`

`:.\ text(Minutes needed)` `= 24-20`
  `= 4\ text(minutes)`

Fractions, SM-Bank 040

Three friends are baking cupcakes for the Spring Fair.

Maryanne will bake `1/4` of the cupcakes, Martin has a large oven and will bake `2/3` of the cupcakes and Monty will bake the rest.

What fraction of the cupcake baking does Monty complete?  (2 marks)

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`1/12`

Show Worked Solution

`text(Monty’s Baking)`

`= 1-(1/4 + 2/3)\ \ text(LCD)\= 12`

`= (1xx12)/(1 xx 12)-((1xx3)/(4 xx 3) + (2 xx 4)/(3 xx 4))`

`= 12/12-(3/12 + 8/12)`

`= 12/12-11/12 = 1/12`

`:.\ text(Monty bakes)\ 1/12\ text(of the cupcakes)`

Fractions, SM-Bank 039

Three friends are running as a team in a fun run.

Thanh hopes to finish `3/7` of the run, Jamieson is confident he can complete `1/2` of the run and Jules will complete the rest.

What fraction of the fun run does Jules complete?  (2 marks)

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`1/14`

Show Worked Solution

`text(Jules)`

`= 1-(3/7 + 1/2)\ \ text(LCD)\= 14`

`= (1xx14)/(1 xx 14)-((3xx2)/(7 xx 2) + (1 xx 7)/(2 xx 7))`

`= 14/14-(6/14 + 7/14)`

`= 14/14-13/14 = 1/14`

`:.\ text(Jules completes)\ 1/14\ text(of the race)`

Fractions, SM-Bank 036

Jaime and Jordan ordered 2 extra large pizzas for dinner.

Jaime ate `2/5` of an extra large pizza.

  1. If Jordan ate 3 times as much pizza as Jaime, how much pizza did Jordan eat? Give your answer as a mixed number.  (1 mark)

  2. What fraction of pizza is left over?  (2 marks)

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a.    `1 1/5\ text(pizzas)`

b.    `2/5\ text(of a pizza)`

Show Worked Solution

a.    `text(Jordan’s Pizza)`

`= 3 xx 2/5`

`= 6/5`

 `= 1 1/5\ text(pizzas)`
  

b.    `text(Leftover pizza)`

`= 2-(2/5 + 1 1/5)`

`= 2-1 3/5`

`= 2/5\ text(of a pizza)`