What is 50/85 Divided By 2/9

Solving $\frac{50}{85}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{85} \div \frac{2}{9} = \frac{50}{85} \times \frac{9}{2}$

• Multiply the Numerators: $50 \times 9 = 450$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{50}{85} \times \frac{2}{9} = \frac{450}{170}$

Let's Simplify $\frac{450}{170}$

• Find the Greatest Common Divisor (GCD) of $450$ and $170$. The GCD of $450$ and $170$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 10}{170 \div 10} = \frac{45}{17}$

Answer $\frac{50}{85}\div\frac{2}{9} = \frac{45}{17}$

The following animation demonstrates the divide-by,