What is 38/42 Divided By 1/6

Solving $\frac{38}{42}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{42} \div \frac{1}{6} = \frac{38}{42} \times \frac{6}{1}$

• Multiply the Numerators: $38 \times 6 = 228$
• Multiply the Denominators: $42 \times 1 = 42$
• Form the New Fraction: $\frac{38}{42} \times \frac{1}{6} = \frac{228}{42}$

Let's Simplify $\frac{228}{42}$

• Find the Greatest Common Divisor (GCD) of $228$ and $42$. The GCD of $228$ and $42$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 6}{42 \div 6} = \frac{38}{7}$

Answer $\frac{38}{42}\div\frac{1}{6} = \frac{38}{7}$

The following animation demonstrates the divide-by,