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# Six times the reciprocal of a number is . What is the number? Express your answer as a mixed number.

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7
+189

Six times the reciprocal of a number is . What is the number? Express your answer as a mixed number.

May 1, 2020

#1
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Using Algebra...

Letting x be the desired number, we have $$\frac{6}{x}=\frac{9}{4}$$. Multiplying both sides by x and by 4 gives 24 = 9x . Dividing both sides by 9 gives $$x=\frac{24}{9}=\frac{8}{3}=\boxed{2\frac{2}{3}}$$.

May 1, 2020
#4
+470
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How did you know the mixed number is 24/9? I don't think some images are showing up on my computer, I couldn't see it D:

CentsLord  May 1, 2020
#5
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Oops just a Letex error

its suppost to be..

Dividing both sides by 9 gives $$x=\frac{24}{9}=\frac{8}{3}=\boxed{2\frac{2}{3}}$$

LuckyDucky  May 1, 2020
#6
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OK its right btw thanks!

SoggyPerson  May 1, 2020
#7
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No probs!

LuckyDucky  May 1, 2020
#2
+470
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6 * 1/x = x

6/x = x

6 = x2

6 = sqrt(6)

Of course, this is assuming 6 times the reciprocal of a number is the number itself. What's in the gap? :D

May 1, 2020
#3
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Lol IDK why the \$ though, ehhh its fine no difference

LuckyDucky  May 1, 2020