What is 54/81 Divided By 8/9

Solving $\frac{54}{81}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{8}{9} = \frac{54}{81} \times \frac{9}{8}$

• Multiply the Numerators: $54 \times 9 = 486$
• Multiply the Denominators: $81 \times 8 = 648$
• Form the New Fraction: $\frac{54}{81} \times \frac{8}{9} = \frac{486}{648}$

Let's Simplify $\frac{486}{648}$

• Find the Greatest Common Divisor (GCD) of $486$ and $648$. The GCD of $486$ and $648$ is $162$.
• Divide both the numerator and the denominator by the GCD:$\frac{486 \div 162}{648 \div 162} = \frac{3}{4}$

Answer $\frac{54}{81}\div\frac{8}{9} = \frac{3}{4}$

The following animation demonstrates the divide-by,