What is 22/76 Divided By 9/6

Solving $\frac{22}{76}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{76} \div \frac{9}{6} = \frac{22}{76} \times \frac{6}{9}$

• Multiply the Numerators: $22 \times 6 = 132$
• Multiply the Denominators: $76 \times 9 = 684$
• Form the New Fraction: $\frac{22}{76} \times \frac{9}{6} = \frac{132}{684}$

Let's Simplify $\frac{132}{684}$

• Find the Greatest Common Divisor (GCD) of $132$ and $684$. The GCD of $132$ and $684$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 12}{684 \div 12} = \frac{11}{57}$

Answer $\frac{22}{76}\div\frac{9}{6} = \frac{11}{57}$

The following animation demonstrates the divide-by,