Questions: Solve for u. 14/9=7u

Solve for u. 14/9=7u
Transcript text: Solve for $u$. \[ \frac{14}{9}=7 u \]
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Solution

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Solution Steps

Step 1: Isolate the variable \( u \)

To solve for \( u \), divide both sides of the equation by 7: \[ \frac{14}{9} = 7u \implies \frac{14}{9} \div 7 = u. \]

Step 2: Simplify the division

Divide \( \frac{14}{9} \) by 7: \[ \frac{14}{9} \div 7 = \frac{14}{9} \times \frac{1}{7} = \frac{14 \times 1}{9 \times 7}. \]

Step 3: Reduce the fraction

Simplify the fraction by canceling out the common factor of 7: \[ \frac{14}{63} = \frac{2}{9}. \]

Final Answer

\(\boxed{u = \frac{2}{9}}\)

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