What is 46/12 Divided By 2/9

Solving $\frac{46}{12}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{12} \div \frac{2}{9} = \frac{46}{12} \times \frac{9}{2}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $12 \times 2 = 24$
• Form the New Fraction: $\frac{46}{12} \times \frac{2}{9} = \frac{414}{24}$

Let's Simplify $\frac{414}{24}$

• Find the Greatest Common Divisor (GCD) of $414$ and $24$. The GCD of $414$ and $24$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 6}{24 \div 6} = \frac{69}{4}$

Answer $\frac{46}{12}\div\frac{2}{9} = \frac{69}{4}$

The following animation demonstrates the divide-by,