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What fraction of 1/2 square centimetres is 1/2 centimetres square?

 Feb 27, 2021
 #1
avatar+32 
+1

We first focus on the second part of the statement. We find that $(1/2 \text{cm})^2 = \frac{1}{4} \text{cm}^2. $ Therefore, we get that $\frac{\frac{1}{4} \text{cm}^2}{\frac{1}{2} \text{cm}^2} = \boxed{\frac{1}{2}}.$

 Feb 27, 2021
 #2
avatar+2198 
0

Hmm aren't they the same thing? So 1? Correct me if I am wrong.

 Feb 27, 2021
 #3
avatar+112972 
+1

I agree with Cal.

 

They can certainly be interpreted as different but I would want the difference to be made more clear than this!

 

I think what they mean is:

 

the first one means cut a 1 cm square in half.    (It will be a rectangle with sides 0.5cm and  1cm)

 

The second one probably refers to a square with a side length of 0.5cm

 Feb 27, 2021
 #4
avatar+31281 
+1

  I agree this is very unclearly written....but I agree with BB...

    here is my interpretation:

   the entire figure below is   1/2 square centimeters   ( 1/2 cm2)

        the shaded area is   1/2 centimeters square   ....and is obviously   1/2   of the   1/2 cm2         ~ EP

 Feb 27, 2021

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