What is 81/75 Divided By 2/9

Solving $\frac{81}{75}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{75} \div \frac{2}{9} = \frac{81}{75} \times \frac{9}{2}$

• Multiply the Numerators: $81 \times 9 = 729$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{81}{75} \times \frac{2}{9} = \frac{729}{150}$

Let's Simplify $\frac{729}{150}$

• Find the Greatest Common Divisor (GCD) of $729$ and $150$. The GCD of $729$ and $150$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{729 \div 3}{150 \div 3} = \frac{243}{50}$

Answer $\frac{81}{75}\div\frac{2}{9} = \frac{243}{50}$

The following animation demonstrates the divide-by,