What is 22/38 Divided By 2/7

Solving $\frac{22}{38}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{38} \div \frac{2}{7} = \frac{22}{38} \times \frac{7}{2}$

• Multiply the Numerators: $22 \times 7 = 154$
• Multiply the Denominators: $38 \times 2 = 76$
• Form the New Fraction: $\frac{22}{38} \times \frac{2}{7} = \frac{154}{76}$

Let's Simplify $\frac{154}{76}$

• Find the Greatest Common Divisor (GCD) of $154$ and $76$. The GCD of $154$ and $76$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{154 \div 2}{76 \div 2} = \frac{77}{38}$

Answer $\frac{22}{38}\div\frac{2}{7} = \frac{77}{38}$

The following animation demonstrates the divide-by,