What is 19/88 Divided By 1/6

Solving $\frac{19}{88}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{88} \div \frac{1}{6} = \frac{19}{88} \times \frac{6}{1}$

• Multiply the Numerators: $19 \times 6 = 114$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{19}{88} \times \frac{1}{6} = \frac{114}{88}$

Let's Simplify $\frac{114}{88}$

• Find the Greatest Common Divisor (GCD) of $114$ and $88$. The GCD of $114$ and $88$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 2}{88 \div 2} = \frac{57}{44}$

Answer $\frac{19}{88}\div\frac{1}{6} = \frac{57}{44}$

The following animation demonstrates the divide-by,