What is 46/66 Divided By 7/9

Solving $\frac{46}{66}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{66} \div \frac{7}{9} = \frac{46}{66} \times \frac{9}{7}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{46}{66} \times \frac{7}{9} = \frac{414}{462}$

Let's Simplify $\frac{414}{462}$

• Find the Greatest Common Divisor (GCD) of $414$ and $462$. The GCD of $414$ and $462$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 6}{462 \div 6} = \frac{69}{77}$

Answer $\frac{46}{66}\div\frac{7}{9} = \frac{69}{77}$

The following animation demonstrates the divide-by,