What is 17/24 Divided By 3/8

Solving $\frac{17}{24}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{24} \div \frac{3}{8} = \frac{17}{24} \times \frac{8}{3}$

• Multiply the Numerators: $17 \times 8 = 136$
• Multiply the Denominators: $24 \times 3 = 72$
• Form the New Fraction: $\frac{17}{24} \times \frac{3}{8} = \frac{136}{72}$

Let's Simplify $\frac{136}{72}$

• Find the Greatest Common Divisor (GCD) of $136$ and $72$. The GCD of $136$ and $72$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{136 \div 8}{72 \div 8} = \frac{17}{9}$

Answer $\frac{17}{24}\div\frac{3}{8} = \frac{17}{9}$

The following animation demonstrates the divide-by,