+0

+1
69
4

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

Jul 7, 2020

#1
+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
+1

Thank you so much! Very helpful I give you 5 stars! :)

Guest Jul 7, 2020
#2
+26735
+3

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

1/x = 9/24

x = 24/9

Jul 7, 2020
#4
0

Thank you as well! You also deserve 5 stars! You guys are awesome! :)

Guest Jul 7, 2020