What is 17/38 Divided By 3/2

Solving $\frac{17}{38}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{38} \div \frac{3}{2} = \frac{17}{38} \times \frac{2}{3}$

• Multiply the Numerators: $17 \times 2 = 34$
• Multiply the Denominators: $38 \times 3 = 114$
• Form the New Fraction: $\frac{17}{38} \times \frac{3}{2} = \frac{34}{114}$

Let's Simplify $\frac{34}{114}$

• Find the Greatest Common Divisor (GCD) of $34$ and $114$. The GCD of $34$ and $114$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{34 \div 2}{114 \div 2} = \frac{17}{57}$

Answer $\frac{17}{38}\div\frac{3}{2} = \frac{17}{57}$

The following animation demonstrates the divide-by,