What is 99/88 Divided By 4/9

Solving $\frac{99}{88}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{88} \div \frac{4}{9} = \frac{99}{88} \times \frac{9}{4}$

• Multiply the Numerators: $99 \times 9 = 891$
• Multiply the Denominators: $88 \times 4 = 352$
• Form the New Fraction: $\frac{99}{88} \times \frac{4}{9} = \frac{891}{352}$

Let's Simplify $\frac{891}{352}$

• Find the Greatest Common Divisor (GCD) of $891$ and $352$. The GCD of $891$ and $352$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{891 \div 11}{352 \div 11} = \frac{81}{32}$

Answer $\frac{99}{88}\div\frac{4}{9} = \frac{81}{32}$

The following animation demonstrates the divide-by,