What is 17/34 Divided By 1/9

Solving $\frac{17}{34}\div\frac{1}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{34} \div \frac{1}{9} = \frac{17}{34} \times \frac{9}{1}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $34 \times 1 = 34$
• Form the New Fraction: $\frac{17}{34} \times \frac{1}{9} = \frac{153}{34}$

Let's Simplify $\frac{153}{34}$

• Find the Greatest Common Divisor (GCD) of $153$ and $34$. The GCD of $153$ and $34$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{153 \div 17}{34 \div 17} = \frac{9}{2}$

Answer $\frac{17}{34}\div\frac{1}{9} = \frac{9}{2}$

The following animation demonstrates the divide-by,