What is 54/81 Divided By 6/7

Solving $\frac{54}{81}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{6}{7} = \frac{54}{81} \times \frac{7}{6}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $81 \times 6 = 486$
• Form the New Fraction: $\frac{54}{81} \times \frac{6}{7} = \frac{378}{486}$

Let's Simplify $\frac{378}{486}$

• Find the Greatest Common Divisor (GCD) of $378$ and $486$. The GCD of $378$ and $486$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 54}{486 \div 54} = \frac{7}{9}$

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

The following animation demonstrates the divide-by,