What is 12/99 Divided By 8/3

Solving $\frac{12}{99}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{99} \div \frac{8}{3} = \frac{12}{99} \times \frac{3}{8}$

• Multiply the Numerators: $12 \times 3 = 36$
• Multiply the Denominators: $99 \times 8 = 792$
• Form the New Fraction: $\frac{12}{99} \times \frac{8}{3} = \frac{36}{792}$

Let's Simplify $\frac{36}{792}$

• Find the Greatest Common Divisor (GCD) of $36$ and $792$. The GCD of $36$ and $792$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{36 \div 36}{792 \div 36} = \frac{1}{22}$

Answer $\frac{12}{99}\div\frac{8}{3} = \frac{1}{22}$

The following animation demonstrates the divide-by,