SOLUTION: I'm in fourth grade and need help with this problem. Is 1/4 of 3, 3/4, 3 divided by 4, 4 divided by 3 the same and why? THANK YOU!

Question 221595: I'm in fourth grade and need help with this problem. Is 1/4 of 3, 3/4, 3 divided by 4, 4 divided by 3 the same and why? THANK YOU!
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
"of" means multiply,,,,(1/4) of 3 ,,,,means (1/4) *3 = 3/4
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think of this as 3 sets of 1/4 or 1/4 +1/4 +1/4 = 3/4
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OR 3/4,,,,,3* 1/4 =3/1*1/4= (3*1)/(1*4) = 3/4
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think of this as dividing 3 into 4 equal pieces,,,,first divide each of
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the three circles,,into 4 parts,,,,this will give 12 total parts,,each (1/4)
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now,,divide the 12 pieces into 4 groups,,,,each group would have 3 pieces (each 1/4)
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or 4 sets of 3/4.
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The reciprocal comes into play as we divide
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Starting with 3*1/4 = 3/1 * 1/4 = 3/4
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to divide,,,"invert and multiply" 2nd term
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3/(1/4) = (3/1) / (1/4) = (3/1)*(4/1) = 12 pieces,,,,,(as we did above)
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To better understand this,, draw three circles,,,divide each one
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into 4 pieces....each piece is (1/4) and there are 12 total.
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Review this several times,,until you understand
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Thanks for your hard work
.

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