What is 33/72 Divided By 7/6

Solving $\frac{33}{72}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{72} \div \frac{7}{6} = \frac{33}{72} \times \frac{6}{7}$

• Multiply the Numerators: $33 \times 6 = 198$
• Multiply the Denominators: $72 \times 7 = 504$
• Form the New Fraction: $\frac{33}{72} \times \frac{7}{6} = \frac{198}{504}$

Let's Simplify $\frac{198}{504}$

• Find the Greatest Common Divisor (GCD) of $198$ and $504$. The GCD of $198$ and $504$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 18}{504 \div 18} = \frac{11}{28}$

Answer $\frac{33}{72}\div\frac{7}{6} = \frac{11}{28}$

The following animation demonstrates the divide-by,