What is 46/57 Divided By 2/9

Solving $\frac{46}{57}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{57} \div \frac{2}{9} = \frac{46}{57} \times \frac{9}{2}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{46}{57} \times \frac{2}{9} = \frac{414}{114}$

Let's Simplify $\frac{414}{114}$

• Find the Greatest Common Divisor (GCD) of $414$ and $114$. The GCD of $414$ and $114$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 6}{114 \div 6} = \frac{69}{19}$

Answer $\frac{46}{57}\div\frac{2}{9} = \frac{69}{19}$

The following animation demonstrates the divide-by,