What is 33/66 Divided By 7/5

Solving $\frac{33}{66}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{66} \div \frac{7}{5} = \frac{33}{66} \times \frac{5}{7}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{33}{66} \times \frac{7}{5} = \frac{165}{462}$

Let's Simplify $\frac{165}{462}$

• Find the Greatest Common Divisor (GCD) of $165$ and $462$. The GCD of $165$ and $462$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 33}{462 \div 33} = \frac{5}{14}$

Answer $\frac{33}{66}\div\frac{7}{5} = \frac{5}{14}$

The following animation demonstrates the divide-by,