To find the missing number in the fraction \( \frac{3}{_} = \frac{6}{9} \), we can set up the equation:
\[ \frac{3}{x} = \frac{6}{9} \]
We can simplify the fraction \( \frac{6}{9} \):
\[ \frac{6}{9} = \frac{2}{3} \quad \text{(dividing both numerator and denominator by 3)} \]
Now our equation is:
\[ \frac{3}{x} = \frac{2}{3} \]
We can cross-multiply to solve for \( x \):
\[ 3 \cdot 3 = 2 \cdot x \]
This simplifies to:
\[ 9 = 2x \]
Now, divide both sides by 2:
\[ x = \frac{9}{2} = 4.5 \]
Thus, the missing number is:
\[ \frac{3}{4.5} = \frac{6}{9} \]
So, the missing number is \( 4.5 \).
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