What is 46/33 Divided By 2/9

Solving $\frac{46}{33}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{33} \div \frac{2}{9} = \frac{46}{33} \times \frac{9}{2}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $33 \times 2 = 66$
• Form the New Fraction: $\frac{46}{33} \times \frac{2}{9} = \frac{414}{66}$

Let's Simplify $\frac{414}{66}$

• Find the Greatest Common Divisor (GCD) of $414$ and $66$. The GCD of $414$ and $66$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 6}{66 \div 6} = \frac{69}{11}$

Answer $\frac{46}{33}\div\frac{2}{9} = \frac{69}{11}$

The following animation demonstrates the divide-by,