What is 27/99 Divided By 3/1

Solving $\frac{27}{99}\div\frac{3}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{99} \div \frac{3}{1} = \frac{27}{99} \times \frac{1}{3}$

• Multiply the Numerators: $27 \times 1 = 27$
• Multiply the Denominators: $99 \times 3 = 297$
• Form the New Fraction: $\frac{27}{99} \times \frac{3}{1} = \frac{27}{297}$

Let's Simplify $\frac{27}{297}$

• Find the Greatest Common Divisor (GCD) of $27$ and $297$. The GCD of $27$ and $297$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{27 \div 27}{297 \div 27} = \frac{1}{11}$

Answer $\frac{27}{99}\div\frac{3}{1} = \frac{1}{11}$

The following animation demonstrates the divide-by,