What is 57/19 Divided By 9/2

Solving $\frac{57}{19}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{19} \div \frac{9}{2} = \frac{57}{19} \times \frac{2}{9}$

• Multiply the Numerators: $57 \times 2 = 114$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{57}{19} \times \frac{9}{2} = \frac{114}{171}$

Let's Simplify $\frac{114}{171}$

• Find the Greatest Common Divisor (GCD) of $114$ and $171$. The GCD of $114$ and $171$ is $57$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 57}{171 \div 57} = \frac{2}{3}$

Answer $\frac{57}{19}\div\frac{9}{2} = \frac{2}{3}$

The following animation demonstrates the divide-by,