What is 75/17 Divided By 5/9

Solving $\frac{75}{17}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{17} \div \frac{5}{9} = \frac{75}{17} \times \frac{9}{5}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $17 \times 5 = 85$
• Form the New Fraction: $\frac{75}{17} \times \frac{5}{9} = \frac{675}{85}$

Let's Simplify $\frac{675}{85}$

• Find the Greatest Common Divisor (GCD) of $675$ and $85$. The GCD of $675$ and $85$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 5}{85 \div 5} = \frac{135}{17}$

Answer $\frac{75}{17}\div\frac{5}{9} = \frac{135}{17}$

The following animation demonstrates the divide-by,