What is 34/85 Divided By 1/4

Solving $\frac{34}{85}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{1}{4} = \frac{34}{85} \times \frac{4}{1}$

• Multiply the Numerators: $34 \times 4 = 136$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{34}{85} \times \frac{1}{4} = \frac{136}{85}$

Let's Simplify $\frac{136}{85}$

• Find the Greatest Common Divisor (GCD) of $136$ and $85$. The GCD of $136$ and $85$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{136 \div 17}{85 \div 17} = \frac{8}{5}$

Answer $\frac{34}{85}\div\frac{1}{4} = \frac{8}{5}$

The following animation demonstrates the divide-by,