What is 27/24 Divided By 5/2

Solving $\frac{27}{24}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{24} \div \frac{5}{2} = \frac{27}{24} \times \frac{2}{5}$

• Multiply the Numerators: $27 \times 2 = 54$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{27}{24} \times \frac{5}{2} = \frac{54}{120}$

Let's Simplify $\frac{54}{120}$

• Find the Greatest Common Divisor (GCD) of $54$ and $120$. The GCD of $54$ and $120$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{54 \div 6}{120 \div 6} = \frac{9}{20}$

Answer $\frac{27}{24}\div\frac{5}{2} = \frac{9}{20}$

The following animation demonstrates the divide-by,