What is 46/11 Divided By 6/7

Solving $\frac{46}{11}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{11} \div \frac{6}{7} = \frac{46}{11} \times \frac{7}{6}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $11 \times 6 = 66$
• Form the New Fraction: $\frac{46}{11} \times \frac{6}{7} = \frac{322}{66}$

Let's Simplify $\frac{322}{66}$

• Find the Greatest Common Divisor (GCD) of $322$ and $66$. The GCD of $322$ and $66$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{66 \div 2} = \frac{161}{33}$

Answer $\frac{46}{11}\div\frac{6}{7} = \frac{161}{33}$

The following animation demonstrates the divide-by,