What is 45/48 Divided By 2/9

Solving $\frac{45}{48}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{48} \div \frac{2}{9} = \frac{45}{48} \times \frac{9}{2}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $48 \times 2 = 96$
• Form the New Fraction: $\frac{45}{48} \times \frac{2}{9} = \frac{405}{96}$

Let's Simplify $\frac{405}{96}$

• Find the Greatest Common Divisor (GCD) of $405$ and $96$. The GCD of $405$ and $96$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 3}{96 \div 3} = \frac{135}{32}$

Answer $\frac{45}{48}\div\frac{2}{9} = \frac{135}{32}$

The following animation demonstrates the divide-by,