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: 184÷172=184×217. \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 18 and denominator 4 4 can be simplified by dividing both by 2 2 : 184=92. \frac{18}{4} = \frac{9}{2}. Now, the expression becomes: 92×217. \frac{9}{2} \times \frac{2}{17}.

Step 3: Multiply the Fractions

Multiply the numerators and denominators: 9×22×17=1834. \frac{9 \times 2}{2 \times 17} = \frac{18}{34}.

Step 4: Simplify the Result

Simplify the fraction 1834 \frac{18}{34} by dividing both numerator and denominator by 2 2 : 1834=917. \frac{18}{34} = \frac{9}{17}.

Final Answer

917\boxed{\frac{9}{17}}

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