What is 88/12 Divided By 8/9

Solving $\frac{88}{12}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{12} \div \frac{8}{9} = \frac{88}{12} \times \frac{9}{8}$

• Multiply the Numerators: $88 \times 9 = 792$
• Multiply the Denominators: $12 \times 8 = 96$
• Form the New Fraction: $\frac{88}{12} \times \frac{8}{9} = \frac{792}{96}$

Let's Simplify $\frac{792}{96}$

• Find the Greatest Common Divisor (GCD) of $792$ and $96$. The GCD of $792$ and $96$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{792 \div 24}{96 \div 24} = \frac{33}{4}$

Answer $\frac{88}{12}\div\frac{8}{9} = \frac{33}{4}$

The following animation demonstrates the divide-by,