What is 54/81 Divided By 7/9

Solving $\frac{54}{81}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{7}{9} = \frac{54}{81} \times \frac{9}{7}$

• Multiply the Numerators: $54 \times 9 = 486$
• Multiply the Denominators: $81 \times 7 = 567$
• Form the New Fraction: $\frac{54}{81} \times \frac{7}{9} = \frac{486}{567}$

Let's Simplify $\frac{486}{567}$

• Find the Greatest Common Divisor (GCD) of $486$ and $567$. The GCD of $486$ and $567$ is $81$.
• Divide both the numerator and the denominator by the GCD:$\frac{486 \div 81}{567 \div 81} = \frac{6}{7}$

Answer $\frac{54}{81}\div\frac{7}{9} = \frac{6}{7}$

The following animation demonstrates the divide-by,