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Six times the reciprocal of a number is 9/4. What is the number? Express your answer as a mixed number.

 

 

 

winkwinkwink

 Jul 7, 2020
 #1
avatar+8341 
+3

We need to know what that number is, so we let x be that number.

 

\(\dfrac6x = \dfrac94\)

Cross-multiplying,

\(9x = 24\)

Dividing by 9 on both sides:

\(x = \dfrac{24}9 = \dfrac83 = 2\dfrac23\)

 Jul 7, 2020
 #3
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Thank you so much! Very helpful I give you 5 stars! :)

Guest Jul 7, 2020
 #2
avatar+26735 
+3

6 *  1/x  = 9/4    divide both sides by 6

1/x = 9/24

x = 24/9

 Jul 7, 2020
 #4
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Thank you as well! You also deserve 5 stars! You guys are awesome! :)

Guest Jul 7, 2020

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