What is 33/85 Divided By 6/7

Solving $\frac{33}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{85} \div \frac{6}{7} = \frac{33}{85} \times \frac{7}{6}$

• Multiply the Numerators: $33 \times 7 = 231$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{33}{85} \times \frac{6}{7} = \frac{231}{510}$

Let's Simplify $\frac{231}{510}$

• Find the Greatest Common Divisor (GCD) of $231$ and $510$. The GCD of $231$ and $510$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{231 \div 3}{510 \div 3} = \frac{77}{170}$

Answer $\frac{33}{85}\div\frac{6}{7} = \frac{77}{170}$

The following animation demonstrates the divide-by,