What is 95/57 Divided By 3/2

Solving $\frac{95}{57}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{57} \div \frac{3}{2} = \frac{95}{57} \times \frac{2}{3}$

• Multiply the Numerators: $95 \times 2 = 190$
• Multiply the Denominators: $57 \times 3 = 171$
• Form the New Fraction: $\frac{95}{57} \times \frac{3}{2} = \frac{190}{171}$

Let's Simplify $\frac{190}{171}$

• Find the Greatest Common Divisor (GCD) of $190$ and $171$. The GCD of $190$ and $171$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{190 \div 19}{171 \div 19} = \frac{10}{9}$

Answer $\frac{95}{57}\div\frac{3}{2} = \frac{10}{9}$

The following animation demonstrates the divide-by,