What is 81/45 Divided By 8/9

Solving $\frac{81}{45}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{45} \div \frac{8}{9} = \frac{81}{45} \times \frac{9}{8}$

• Multiply the Numerators: $81 \times 9 = 729$
• Multiply the Denominators: $45 \times 8 = 360$
• Form the New Fraction: $\frac{81}{45} \times \frac{8}{9} = \frac{729}{360}$

Let's Simplify $\frac{729}{360}$

• Find the Greatest Common Divisor (GCD) of $729$ and $360$. The GCD of $729$ and $360$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{729 \div 9}{360 \div 9} = \frac{81}{40}$

Answer $\frac{81}{45}\div\frac{8}{9} = \frac{81}{40}$

The following animation demonstrates the divide-by,