What is 17/66 Divided By 7/6

Solving $\frac{17}{66}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{66} \div \frac{7}{6} = \frac{17}{66} \times \frac{6}{7}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{17}{66} \times \frac{7}{6} = \frac{102}{462}$

Let's Simplify $\frac{102}{462}$

• Find the Greatest Common Divisor (GCD) of $102$ and $462$. The GCD of $102$ and $462$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 6}{462 \div 6} = \frac{17}{77}$

Answer $\frac{17}{66}\div\frac{7}{6} = \frac{17}{77}$

The following animation demonstrates the divide-by,