What is 11/88 Divided By 1/6

Solving $\frac{11}{88}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{88} \div \frac{1}{6} = \frac{11}{88} \times \frac{6}{1}$

• Multiply the Numerators: $11 \times 6 = 66$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{11}{88} \times \frac{1}{6} = \frac{66}{88}$

Let's Simplify $\frac{66}{88}$

• Find the Greatest Common Divisor (GCD) of $66$ and $88$. The GCD of $66$ and $88$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{66 \div 22}{88 \div 22} = \frac{3}{4}$

Answer $\frac{11}{88}\div\frac{1}{6} = \frac{3}{4}$

The following animation demonstrates the divide-by,