What is 54/17 Divided By 9/2

Solving $\frac{54}{17}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{17} \div \frac{9}{2} = \frac{54}{17} \times \frac{2}{9}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $17 \times 9 = 153$
• Form the New Fraction: $\frac{54}{17} \times \frac{9}{2} = \frac{108}{153}$

Let's Simplify $\frac{108}{153}$

• Find the Greatest Common Divisor (GCD) of $108$ and $153$. The GCD of $108$ and $153$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 9}{153 \div 9} = \frac{12}{17}$

Answer $\frac{54}{17}\div\frac{9}{2} = \frac{12}{17}$

The following animation demonstrates the divide-by,