What is 34/24 Divided By 6/8

Solving $\frac{34}{24}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{24} \div \frac{6}{8} = \frac{34}{24} \times \frac{8}{6}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $24 \times 6 = 144$
• Form the New Fraction: $\frac{34}{24} \times \frac{6}{8} = \frac{272}{144}$

Let's Simplify $\frac{272}{144}$

• Find the Greatest Common Divisor (GCD) of $272$ and $144$. The GCD of $272$ and $144$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{272 \div 16}{144 \div 16} = \frac{17}{9}$

Answer $\frac{34}{24}\div\frac{6}{8} = \frac{17}{9}$

The following animation demonstrates the divide-by,