What is 81/27 Divided By 6/7

Solving $\frac{81}{27}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{27} \div \frac{6}{7} = \frac{81}{27} \times \frac{7}{6}$

• Multiply the Numerators: $81 \times 7 = 567$
• Multiply the Denominators: $27 \times 6 = 162$
• Form the New Fraction: $\frac{81}{27} \times \frac{6}{7} = \frac{567}{162}$

Let's Simplify $\frac{567}{162}$

• Find the Greatest Common Divisor (GCD) of $567$ and $162$. The GCD of $567$ and $162$ is $81$.
• Divide both the numerator and the denominator by the GCD:$\frac{567 \div 81}{162 \div 81} = \frac{7}{2}$

Answer $\frac{81}{27}\div\frac{6}{7} = \frac{7}{2}$

The following animation demonstrates the divide-by,