What is 99/88 Divided By 5/9

Solving $\frac{99}{88}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{88} \div \frac{5}{9} = \frac{99}{88} \times \frac{9}{5}$

• Multiply the Numerators: $99 \times 9 = 891$
• Multiply the Denominators: $88 \times 5 = 440$
• Form the New Fraction: $\frac{99}{88} \times \frac{5}{9} = \frac{891}{440}$

Let's Simplify $\frac{891}{440}$

• Find the Greatest Common Divisor (GCD) of $891$ and $440$. The GCD of $891$ and $440$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{891 \div 11}{440 \div 11} = \frac{81}{40}$

Answer $\frac{99}{88}\div\frac{5}{9} = \frac{81}{40}$

The following animation demonstrates the divide-by,