What is 33/12 Divided By 5/7

Solving $\frac{33}{12}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{12} \div \frac{5}{7} = \frac{33}{12} \times \frac{7}{5}$

• Multiply the Numerators: $33 \times 7 = 231$
• Multiply the Denominators: $12 \times 5 = 60$
• Form the New Fraction: $\frac{33}{12} \times \frac{5}{7} = \frac{231}{60}$

Let's Simplify $\frac{231}{60}$

• Find the Greatest Common Divisor (GCD) of $231$ and $60$. The GCD of $231$ and $60$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{231 \div 3}{60 \div 3} = \frac{77}{20}$

Answer $\frac{33}{12}\div\frac{5}{7} = \frac{77}{20}$

The following animation demonstrates the divide-by,