What is 33/75 Divided By 6/7

Solving $\frac{33}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{75} \div \frac{6}{7} = \frac{33}{75} \times \frac{7}{6}$

• Multiply the Numerators: $33 \times 7 = 231$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{33}{75} \times \frac{6}{7} = \frac{231}{450}$

Let's Simplify $\frac{231}{450}$

• Find the Greatest Common Divisor (GCD) of $231$ and $450$. The GCD of $231$ and $450$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{231 \div 3}{450 \div 3} = \frac{77}{150}$

Answer $\frac{33}{75}\div\frac{6}{7} = \frac{77}{150}$

The following animation demonstrates the divide-by,