What is 81/19 Divided By 9/2

Solving $\frac{81}{19}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{19} \div \frac{9}{2} = \frac{81}{19} \times \frac{2}{9}$

• Multiply the Numerators: $81 \times 2 = 162$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{81}{19} \times \frac{9}{2} = \frac{162}{171}$

Let's Simplify $\frac{162}{171}$

• Find the Greatest Common Divisor (GCD) of $162$ and $171$. The GCD of $162$ and $171$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 9}{171 \div 9} = \frac{18}{19}$

Answer $\frac{81}{19}\div\frac{9}{2} = \frac{18}{19}$

The following animation demonstrates the divide-by,