What is 38/81 Divided By 1/6

Solving $\frac{38}{81}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{81} \div \frac{1}{6} = \frac{38}{81} \times \frac{6}{1}$

• Multiply the Numerators: $38 \times 6 = 228$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{38}{81} \times \frac{1}{6} = \frac{228}{81}$

Let's Simplify $\frac{228}{81}$

• Find the Greatest Common Divisor (GCD) of $228$ and $81$. The GCD of $228$ and $81$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 3}{81 \div 3} = \frac{76}{27}$

Answer $\frac{38}{81}\div\frac{1}{6} = \frac{76}{27}$

The following animation demonstrates the divide-by,