What is 88/99 Divided By 9/2

Solving $\frac{88}{99}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{99} \div \frac{9}{2} = \frac{88}{99} \times \frac{2}{9}$

• Multiply the Numerators: $88 \times 2 = 176$
• Multiply the Denominators: $99 \times 9 = 891$
• Form the New Fraction: $\frac{88}{99} \times \frac{9}{2} = \frac{176}{891}$

Let's Simplify $\frac{176}{891}$

• Find the Greatest Common Divisor (GCD) of $176$ and $891$. The GCD of $176$ and $891$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 11}{891 \div 11} = \frac{16}{81}$

Answer $\frac{88}{99}\div\frac{9}{2} = \frac{16}{81}$

The following animation demonstrates the divide-by,