What is 81/33 Divided By 8/9

Solving $\frac{81}{33}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{33} \div \frac{8}{9} = \frac{81}{33} \times \frac{9}{8}$

• Multiply the Numerators: $81 \times 9 = 729$
• Multiply the Denominators: $33 \times 8 = 264$
• Form the New Fraction: $\frac{81}{33} \times \frac{8}{9} = \frac{729}{264}$

Let's Simplify $\frac{729}{264}$

• Find the Greatest Common Divisor (GCD) of $729$ and $264$. The GCD of $729$ and $264$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{729 \div 3}{264 \div 3} = \frac{243}{88}$

Answer $\frac{81}{33}\div\frac{8}{9} = \frac{243}{88}$

The following animation demonstrates the divide-by,