What is 19/38 Divided By 3/2

Solving $\frac{19}{38}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{38} \div \frac{3}{2} = \frac{19}{38} \times \frac{2}{3}$

• Multiply the Numerators: $19 \times 2 = 38$
• Multiply the Denominators: $38 \times 3 = 114$
• Form the New Fraction: $\frac{19}{38} \times \frac{3}{2} = \frac{38}{114}$

Let's Simplify $\frac{38}{114}$

• Find the Greatest Common Divisor (GCD) of $38$ and $114$. The GCD of $38$ and $114$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{38 \div 38}{114 \div 38} = \frac{1}{3}$

Answer $\frac{19}{38}\div\frac{3}{2} = \frac{1}{3}$

The following animation demonstrates the divide-by,