What is 27/24 Divided By 9/2

Solving $\frac{27}{24}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{24} \div \frac{9}{2} = \frac{27}{24} \times \frac{2}{9}$

• Multiply the Numerators: $27 \times 2 = 54$
• Multiply the Denominators: $24 \times 9 = 216$
• Form the New Fraction: $\frac{27}{24} \times \frac{9}{2} = \frac{54}{216}$

Let's Simplify $\frac{54}{216}$

• Find the Greatest Common Divisor (GCD) of $54$ and $216$. The GCD of $54$ and $216$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{54 \div 54}{216 \div 54} = \frac{1}{4}$

Answer $\frac{27}{24}\div\frac{9}{2} = \frac{1}{4}$

The following animation demonstrates the divide-by,