What is 81/27 Divided By 5/6

Solving $\frac{81}{27}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{27} \div \frac{5}{6} = \frac{81}{27} \times \frac{6}{5}$

• Multiply the Numerators: $81 \times 6 = 486$
• Multiply the Denominators: $27 \times 5 = 135$
• Form the New Fraction: $\frac{81}{27} \times \frac{5}{6} = \frac{486}{135}$

Let's Simplify $\frac{486}{135}$

• Find the Greatest Common Divisor (GCD) of $486$ and $135$. The GCD of $486$ and $135$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{486 \div 27}{135 \div 27} = \frac{18}{5}$

Answer $\frac{81}{27}\div\frac{5}{6} = \frac{18}{5}$

The following animation demonstrates the divide-by,