What is 17/85 Divided By 4/5

Solving $\frac{17}{85}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{85} \div \frac{4}{5} = \frac{17}{85} \times \frac{5}{4}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{17}{85} \times \frac{4}{5} = \frac{85}{340}$

Let's Simplify $\frac{85}{340}$

• Find the Greatest Common Divisor (GCD) of $85$ and $340$. The GCD of $85$ and $340$ is $85$.
• Divide both the numerator and the denominator by the GCD:$\frac{85 \div 85}{340 \div 85} = \frac{1}{4}$

Answer $\frac{17}{85}\div\frac{4}{5} = \frac{1}{4}$

The following animation demonstrates the divide-by,