What is 33/76 Divided By 9/6

Solving $\frac{33}{76}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{76} \div \frac{9}{6} = \frac{33}{76} \times \frac{6}{9}$

• Multiply the Numerators: $33 \times 6 = 198$
• Multiply the Denominators: $76 \times 9 = 684$
• Form the New Fraction: $\frac{33}{76} \times \frac{9}{6} = \frac{198}{684}$

Let's Simplify $\frac{198}{684}$

• Find the Greatest Common Divisor (GCD) of $198$ and $684$. The GCD of $198$ and $684$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 18}{684 \div 18} = \frac{11}{38}$

Answer $\frac{33}{76}\div\frac{9}{6} = \frac{11}{38}$

The following animation demonstrates the divide-by,