What is 45/57 Divided By 2/9

Solving $\frac{45}{57}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{57} \div \frac{2}{9} = \frac{45}{57} \times \frac{9}{2}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{45}{57} \times \frac{2}{9} = \frac{405}{114}$

Let's Simplify $\frac{405}{114}$

• Find the Greatest Common Divisor (GCD) of $405$ and $114$. The GCD of $405$ and $114$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 3}{114 \div 3} = \frac{135}{38}$

Answer $\frac{45}{57}\div\frac{2}{9} = \frac{135}{38}$

The following animation demonstrates the divide-by,