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A CD makes 58 1/2 revolutions in 3/4 min.
Complete the unit rate.
[ ] revolutions/min
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OpenStudy (anonymous):
@Jhannybean
OpenStudy (jhannybean):
Rewrite 58 1/2 as a whole number ratio (fraction) \(\frac{58 \cdot 2 +1}{2} = \ ?\)
OpenStudy (anonymous):
57/2?????
OpenStudy (jhannybean):
(58 x 2) +1 = ?
OpenStudy (anonymous):
117
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OpenStudy (jhannybean):
So it's \(\frac{117}{2}\). Now we can write this as a decimal : 58.5 rev.
Net we have \(\frac{3}{4}\). Is you plug this into your calculator, what decimal value do you get?
OpenStudy (anonymous):
????????????
OpenStudy (jhannybean):
You know that 1/4 can be written as 0.25, yes?
OpenStudy (anonymous):
yes :)
OpenStudy (jhannybean):
Think of a dollar. It has 4 quarters. If 4 quarters = 1 dollar, then 1 quarter/4 quarters = 25 cents.
So what does 3 quarters/4 quarters = ?
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OpenStudy (anonymous):
divide
OpenStudy (jhannybean):
No what value do you get.
OpenStudy (anonymous):
3/4 im really bad at this
OpenStudy (jhannybean):
We got 1/4 = 25 cents, so if you have 3 quarters how many do you have?
OpenStudy (anonymous):
75
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OpenStudy (jhannybean):
Good, finally.
OpenStudy (jhannybean):
So 3/4 = 0.75 min.
Now we just input this into our calculator.
58.5 rev / 0.75 min = ___________ rev/min