What is 54/81 Divided By 1/7

Solving $\frac{54}{81}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{1}{7} = \frac{54}{81} \times \frac{7}{1}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{54}{81} \times \frac{1}{7} = \frac{378}{81}$

Let's Simplify $\frac{378}{81}$

• Find the Greatest Common Divisor (GCD) of $378$ and $81$. The GCD of $378$ and $81$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 27}{81 \div 27} = \frac{14}{3}$

Answer $\frac{54}{81}\div\frac{1}{7} = \frac{14}{3}$

The following animation demonstrates the divide-by,