What is 75/11 Divided By 9/6

Solving $\frac{75}{11}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{11} \div \frac{9}{6} = \frac{75}{11} \times \frac{6}{9}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $11 \times 9 = 99$
• Form the New Fraction: $\frac{75}{11} \times \frac{9}{6} = \frac{450}{99}$

Let's Simplify $\frac{450}{99}$

• Find the Greatest Common Divisor (GCD) of $450$ and $99$. The GCD of $450$ and $99$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 9}{99 \div 9} = \frac{50}{11}$

Answer $\frac{75}{11}\div\frac{9}{6} = \frac{50}{11}$

The following animation demonstrates the divide-by,