What is 46/33 Divided By 3/9

Solving $\frac{46}{33}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{33} \div \frac{3}{9} = \frac{46}{33} \times \frac{9}{3}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $33 \times 3 = 99$
• Form the New Fraction: $\frac{46}{33} \times \frac{3}{9} = \frac{414}{99}$

Let's Simplify $\frac{414}{99}$

• Find the Greatest Common Divisor (GCD) of $414$ and $99$. The GCD of $414$ and $99$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 9}{99 \div 9} = \frac{46}{11}$

Answer $\frac{46}{33}\div\frac{3}{9} = \frac{46}{11}$

The following animation demonstrates the divide-by,