What is 17/35 Divided By 8/5

Solving $\frac{17}{35}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{35} \div \frac{8}{5} = \frac{17}{35} \times \frac{5}{8}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{17}{35} \times \frac{8}{5} = \frac{85}{280}$

Let's Simplify $\frac{85}{280}$

• Find the Greatest Common Divisor (GCD) of $85$ and $280$. The GCD of $85$ and $280$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{85 \div 5}{280 \div 5} = \frac{17}{56}$

Answer $\frac{17}{35}\div\frac{8}{5} = \frac{17}{56}$

The following animation demonstrates the divide-by,