What is 81/54 Divided By 5/2

Solving $\frac{81}{54}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{54} \div \frac{5}{2} = \frac{81}{54} \times \frac{2}{5}$

• Multiply the Numerators: $81 \times 2 = 162$
• Multiply the Denominators: $54 \times 5 = 270$
• Form the New Fraction: $\frac{81}{54} \times \frac{5}{2} = \frac{162}{270}$

Let's Simplify $\frac{162}{270}$

• Find the Greatest Common Divisor (GCD) of $162$ and $270$. The GCD of $162$ and $270$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 54}{270 \div 54} = \frac{3}{5}$

Answer $\frac{81}{54}\div\frac{5}{2} = \frac{3}{5}$

The following animation demonstrates the divide-by,