What is 33/85 Divided By 6/4

Solving $\frac{33}{85}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{85} \div \frac{6}{4} = \frac{33}{85} \times \frac{4}{6}$

• Multiply the Numerators: $33 \times 4 = 132$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{33}{85} \times \frac{6}{4} = \frac{132}{510}$

Let's Simplify $\frac{132}{510}$

• Find the Greatest Common Divisor (GCD) of $132$ and $510$. The GCD of $132$ and $510$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 6}{510 \div 6} = \frac{22}{85}$

Answer $\frac{33}{85}\div\frac{6}{4} = \frac{22}{85}$

The following animation demonstrates the divide-by,