Questions: 18/4 ÷ 17/2 =

18/4 ÷ 17/2 =
Transcript text: $\frac{18}{4} \div \frac{17}{2}=$
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Solution

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Solution Steps

Step 1: Rewrite the Division as Multiplication by the Reciprocal

To divide by a fraction, multiply by its reciprocal. Rewrite the expression: \[ \frac{18}{4} \div \frac{17}{2} = \frac{18}{4} \times \frac{2}{17}. \]

Step 2: Simplify the Fractions

Simplify the fractions by canceling common factors. The numerator \( 18 \) and denominator \( 4 \) can be simplified by dividing both by \( 2 \): \[ \frac{18}{4} = \frac{9}{2}. \] Now, the expression becomes: \[ \frac{9}{2} \times \frac{2}{17}. \]

Step 3: Multiply the Fractions

Multiply the numerators and denominators: \[ \frac{9 \times 2}{2 \times 17} = \frac{18}{34}. \]

Step 4: Simplify the Result

Simplify the fraction \( \frac{18}{34} \) by dividing both numerator and denominator by \( 2 \): \[ \frac{18}{34} = \frac{9}{17}. \]

Final Answer

\(\boxed{\frac{9}{17}}\)

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