What is 17/34 Divided By 6/8

Solving $\frac{17}{34}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{34} \div \frac{6}{8} = \frac{17}{34} \times \frac{8}{6}$

• Multiply the Numerators: $17 \times 8 = 136$
• Multiply the Denominators: $34 \times 6 = 204$
• Form the New Fraction: $\frac{17}{34} \times \frac{6}{8} = \frac{136}{204}$

Let's Simplify $\frac{136}{204}$

• Find the Greatest Common Divisor (GCD) of $136$ and $204$. The GCD of $136$ and $204$ is $68$.
• Divide both the numerator and the denominator by the GCD:$\frac{136 \div 68}{204 \div 68} = \frac{2}{3}$

Answer $\frac{17}{34}\div\frac{6}{8} = \frac{2}{3}$

The following animation demonstrates the divide-by,