What is 22/38 Divided By 2/6

Solving $\frac{22}{38}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{38} \div \frac{2}{6} = \frac{22}{38} \times \frac{6}{2}$

• Multiply the Numerators: $22 \times 6 = 132$
• Multiply the Denominators: $38 \times 2 = 76$
• Form the New Fraction: $\frac{22}{38} \times \frac{2}{6} = \frac{132}{76}$

Let's Simplify $\frac{132}{76}$

• Find the Greatest Common Divisor (GCD) of $132$ and $76$. The GCD of $132$ and $76$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 4}{76 \div 4} = \frac{33}{19}$

Answer $\frac{22}{38}\div\frac{2}{6} = \frac{33}{19}$

The following animation demonstrates the divide-by,