What is 24/17 Divided By 8/9

Solving $\frac{24}{17}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{17} \div \frac{8}{9} = \frac{24}{17} \times \frac{9}{8}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $17 \times 8 = 136$
• Form the New Fraction: $\frac{24}{17} \times \frac{8}{9} = \frac{216}{136}$

Let's Simplify $\frac{216}{136}$

• Find the Greatest Common Divisor (GCD) of $216$ and $136$. The GCD of $216$ and $136$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 8}{136 \div 8} = \frac{27}{17}$

Answer $\frac{24}{17}\div\frac{8}{9} = \frac{27}{17}$

The following animation demonstrates the divide-by,