What is 17/18 Divided By 1/9

Solving $\frac{17}{18}\div\frac{1}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{18} \div \frac{1}{9} = \frac{17}{18} \times \frac{9}{1}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $18 \times 1 = 18$
• Form the New Fraction: $\frac{17}{18} \times \frac{1}{9} = \frac{153}{18}$

Let's Simplify $\frac{153}{18}$

• Find the Greatest Common Divisor (GCD) of $153$ and $18$. The GCD of $153$ and $18$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{153 \div 9}{18 \div 9} = \frac{17}{2}$

Answer $\frac{17}{18}\div\frac{1}{9} = \frac{17}{2}$

The following animation demonstrates the divide-by,