Well, when dividing by a fraction, it is the same as multiplying by the reciprocal of the fraction. So, imagine divided 2 by 1/2. I'm essentially asking how many halves there are in 4. Well, let's test the theory. 2 divided by 1/2. If I then make it 2 x (2/1) I get 2 x 2 which is 4, like we said.
So (2sqrt2)/3 divided by a third is the same as multiplying through by 3. So 3*(2sqrt2)/3 is 2sqrt2, because the 3's cancel out.
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Verified answer
(2√2/3) / (1/3)
= (2√2/3) * (3/1)
= (2√2 * 3) / (3 * 1)
= 2√2
2â2/3 / 1/3
=2â2/3 * 3
=2â2
2â2
Well, when dividing by a fraction, it is the same as multiplying by the reciprocal of the fraction. So, imagine divided 2 by 1/2. I'm essentially asking how many halves there are in 4. Well, let's test the theory. 2 divided by 1/2. If I then make it 2 x (2/1) I get 2 x 2 which is 4, like we said.
So (2sqrt2)/3 divided by a third is the same as multiplying through by 3. So 3*(2sqrt2)/3 is 2sqrt2, because the 3's cancel out.