What is 11/99 Divided By 1/8

Solving $\frac{11}{99}\div\frac{1}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{99} \div \frac{1}{8} = \frac{11}{99} \times \frac{8}{1}$

• Multiply the Numerators: $11 \times 8 = 88$
• Multiply the Denominators: $99 \times 1 = 99$
• Form the New Fraction: $\frac{11}{99} \times \frac{1}{8} = \frac{88}{99}$

Let's Simplify $\frac{88}{99}$

• Find the Greatest Common Divisor (GCD) of $88$ and $99$. The GCD of $88$ and $99$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{88 \div 11}{99 \div 11} = \frac{8}{9}$

Answer $\frac{11}{99}\div\frac{1}{8} = \frac{8}{9}$

The following animation demonstrates the divide-by,