What is 45/81 Divided By 8/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $81 \times 8 = 648$
• Form the New Fraction: $\frac{45}{81} \times \frac{8}{9} = \frac{405}{648}$

Let's Simplify $\frac{405}{648}$

• Find the Greatest Common Divisor (GCD) of $405$ and $648$. The GCD of $405$ and $648$ is $81$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 81}{648 \div 81} = \frac{5}{8}$

Answer $\frac{45}{81}\div\frac{8}{9} = \frac{5}{8}$

The following animation demonstrates the divide-by,