What is 17/72 Divided By 9/2

Solving $\frac{17}{72}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{72} \div \frac{9}{2} = \frac{17}{72} \times \frac{2}{9}$

• Multiply the Numerators: $17 \times 2 = 34$
• Multiply the Denominators: $72 \times 9 = 648$
• Form the New Fraction: $\frac{17}{72} \times \frac{9}{2} = \frac{34}{648}$

Let's Simplify $\frac{34}{648}$

• Find the Greatest Common Divisor (GCD) of $34$ and $648$. The GCD of $34$ and $648$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{34 \div 2}{648 \div 2} = \frac{17}{324}$

Answer $\frac{17}{72}\div\frac{9}{2} = \frac{17}{324}$

The following animation demonstrates the divide-by,