What is 72/81 Divided By 5/6

Solving $\frac{72}{81}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{81} \div \frac{5}{6} = \frac{72}{81} \times \frac{6}{5}$

• Multiply the Numerators: $72 \times 6 = 432$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{72}{81} \times \frac{5}{6} = \frac{432}{405}$

Let's Simplify $\frac{432}{405}$

• Find the Greatest Common Divisor (GCD) of $432$ and $405$. The GCD of $432$ and $405$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 27}{405 \div 27} = \frac{16}{15}$

Answer $\frac{72}{81}\div\frac{5}{6} = \frac{16}{15}$

The following animation demonstrates the divide-by,