What is 81/19 Divided By 9/5

Solving $\frac{81}{19}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{19} \div \frac{9}{5} = \frac{81}{19} \times \frac{5}{9}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{81}{19} \times \frac{9}{5} = \frac{405}{171}$

Let's Simplify $\frac{405}{171}$

• Find the Greatest Common Divisor (GCD) of $405$ and $171$. The GCD of $405$ and $171$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 9}{171 \div 9} = \frac{45}{19}$

Answer $\frac{81}{19}\div\frac{9}{5} = \frac{45}{19}$

The following animation demonstrates the divide-by,