+0  
 
0
85
7
avatar+189 

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

 May 1, 2020
 #1
avatar+651 
+1

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 \($x=\frac{24}{9}=\frac{8}{3}=\boxed{2\frac{2}{3}}$ \).

 

coolsmileycool

 May 1, 2020
 #4
avatar+470 
+2

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
avatar+651 
+1

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
avatar+189 
+1

OK its right btw thanks!

SoggyPerson  May 1, 2020
 #7
avatar+651 
+1

No probs!

LuckyDucky  May 1, 2020
 #2
avatar+470 
+1

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
avatar+651 
+1

Lol IDK why the $ though, ehhh its fine no difference 

LuckyDucky  May 1, 2020

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