What is 75/17 Divided By 6/9

Solving $\frac{75}{17}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{17} \div \frac{6}{9} = \frac{75}{17} \times \frac{9}{6}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{75}{17} \times \frac{6}{9} = \frac{675}{102}$

Let's Simplify $\frac{675}{102}$

• Find the Greatest Common Divisor (GCD) of $675$ and $102$. The GCD of $675$ and $102$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 3}{102 \div 3} = \frac{225}{34}$

Answer $\frac{75}{17}\div\frac{6}{9} = \frac{225}{34}$

The following animation demonstrates the divide-by,