What is 17/11 Divided By 3/6

Solving $\frac{17}{11}\div\frac{3}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{11} \div \frac{3}{6} = \frac{17}{11} \times \frac{6}{3}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $11 \times 3 = 33$
• Form the New Fraction: $\frac{17}{11} \times \frac{3}{6} = \frac{102}{33}$

Let's Simplify $\frac{102}{33}$

• Find the Greatest Common Divisor (GCD) of $102$ and $33$. The GCD of $102$ and $33$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 3}{33 \div 3} = \frac{34}{11}$

Answer $\frac{17}{11}\div\frac{3}{6} = \frac{34}{11}$

The following animation demonstrates the divide-by,