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

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:

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

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

1/x = 9/24

x = 24/9

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