What is 46/33 Divided By 5/9

Solving $\frac{46}{33}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{33} \div \frac{5}{9} = \frac{46}{33} \times \frac{9}{5}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $33 \times 5 = 165$
• Form the New Fraction: $\frac{46}{33} \times \frac{5}{9} = \frac{414}{165}$

Let's Simplify $\frac{414}{165}$

• Find the Greatest Common Divisor (GCD) of $414$ and $165$. The GCD of $414$ and $165$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 3}{165 \div 3} = \frac{138}{55}$

Answer $\frac{46}{33}\div\frac{5}{9} = \frac{138}{55}$

The following animation demonstrates the divide-by,