What is 54/81 Divided By 2/7

Solving $\frac{54}{81}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{2}{7} = \frac{54}{81} \times \frac{7}{2}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{54}{81} \times \frac{2}{7} = \frac{378}{162}$

Let's Simplify $\frac{378}{162}$

• Find the Greatest Common Divisor (GCD) of $378$ and $162$. The GCD of $378$ and $162$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 54}{162 \div 54} = \frac{7}{3}$

Answer $\frac{54}{81}\div\frac{2}{7} = \frac{7}{3}$

The following animation demonstrates the divide-by,