What is 81/45 Divided By 1/6

Solving $\frac{81}{45}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{45} \div \frac{1}{6} = \frac{81}{45} \times \frac{6}{1}$

• Multiply the Numerators: $81 \times 6 = 486$
• Multiply the Denominators: $45 \times 1 = 45$
• Form the New Fraction: $\frac{81}{45} \times \frac{1}{6} = \frac{486}{45}$

Let's Simplify $\frac{486}{45}$

• Find the Greatest Common Divisor (GCD) of $486$ and $45$. The GCD of $486$ and $45$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{486 \div 9}{45 \div 9} = \frac{54}{5}$

Answer $\frac{81}{45}\div\frac{1}{6} = \frac{54}{5}$

The following animation demonstrates the divide-by,