What is 81/24 Divided By 3/5

Solving $\frac{81}{24}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{24} \div \frac{3}{5} = \frac{81}{24} \times \frac{5}{3}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $24 \times 3 = 72$
• Form the New Fraction: $\frac{81}{24} \times \frac{3}{5} = \frac{405}{72}$

Let's Simplify $\frac{405}{72}$

• Find the Greatest Common Divisor (GCD) of $405$ and $72$. The GCD of $405$ and $72$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 9}{72 \div 9} = \frac{45}{8}$

Answer $\frac{81}{24}\div\frac{3}{5} = \frac{45}{8}$

The following animation demonstrates the divide-by,