What is 38/57 Divided By 3/2

Solving $\frac{38}{57}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{57} \div \frac{3}{2} = \frac{38}{57} \times \frac{2}{3}$

• Multiply the Numerators: $38 \times 2 = 76$
• Multiply the Denominators: $57 \times 3 = 171$
• Form the New Fraction: $\frac{38}{57} \times \frac{3}{2} = \frac{76}{171}$

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

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

Answer $\frac{38}{57}\div\frac{3}{2} = \frac{4}{9}$

The following animation demonstrates the divide-by,