What is 19/38 Divided By 2/9

Solving $\frac{19}{38}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{38} \div \frac{2}{9} = \frac{19}{38} \times \frac{9}{2}$

• Multiply the Numerators: $19 \times 9 = 171$
• Multiply the Denominators: $38 \times 2 = 76$
• Form the New Fraction: $\frac{19}{38} \times \frac{2}{9} = \frac{171}{76}$

Let's Simplify $\frac{171}{76}$

• Find the Greatest Common Divisor (GCD) of $171$ and $76$. The GCD of $171$ and $76$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{171 \div 19}{76 \div 19} = \frac{9}{4}$

Answer $\frac{19}{38}\div\frac{2}{9} = \frac{9}{4}$

The following animation demonstrates the divide-by,