3 years ago

Explain how to use the missing pieces strategy to compare two fractions.include a diagram with your explanation.

1 answer:

5 0

In order for us to tell whichever fraction is greater than or lesser than, we need to look for the missing part.

For example, we have 2/3 and 1/3.
2/3 needs to have 1/3 in order to complete the whole.
<span>1/3 needs to have 2/3 in order to complete the whole.</span>

1/3 < 2/3
So 2/3 is bigger than 1//3

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A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^

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check the picture below.

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$\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}$