What is 75/81 Divided By 5/6

Solving $\frac{75}{81}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{5}{6} = \frac{75}{81} \times \frac{6}{5}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{75}{81} \times \frac{5}{6} = \frac{450}{405}$

Let's Simplify $\frac{450}{405}$

• Find the Greatest Common Divisor (GCD) of $450$ and $405$. The GCD of $450$ and $405$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 45}{405 \div 45} = \frac{10}{9}$

Answer $\frac{75}{81}\div\frac{5}{6} = \frac{10}{9}$

The following animation demonstrates the divide-by,