What is 81/28 Divided By 9/5

Solving $\frac{81}{28}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{28} \div \frac{9}{5} = \frac{81}{28} \times \frac{5}{9}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $28 \times 9 = 252$
• Form the New Fraction: $\frac{81}{28} \times \frac{9}{5} = \frac{405}{252}$

Let's Simplify $\frac{405}{252}$

• Find the Greatest Common Divisor (GCD) of $405$ and $252$. The GCD of $405$ and $252$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 9}{252 \div 9} = \frac{45}{28}$

Answer $\frac{81}{28}\div\frac{9}{5} = \frac{45}{28}$

The following animation demonstrates the divide-by,