What is 88/11 Divided By 9/4

Solving $\frac{88}{11}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{11} \div \frac{9}{4} = \frac{88}{11} \times \frac{4}{9}$

• Multiply the Numerators: $88 \times 4 = 352$
• Multiply the Denominators: $11 \times 9 = 99$
• Form the New Fraction: $\frac{88}{11} \times \frac{9}{4} = \frac{352}{99}$

Let's Simplify $\frac{352}{99}$

• Find the Greatest Common Divisor (GCD) of $352$ and $99$. The GCD of $352$ and $99$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{352 \div 11}{99 \div 11} = \frac{32}{9}$

Answer $\frac{88}{11}\div\frac{9}{4} = \frac{32}{9}$

The following animation demonstrates the divide-by,