What is 34/85 Divided By 1/7

Solving $\frac{34}{85}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{1}{7} = \frac{34}{85} \times \frac{7}{1}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{34}{85} \times \frac{1}{7} = \frac{238}{85}$

Let's Simplify $\frac{238}{85}$

• Find the Greatest Common Divisor (GCD) of $238$ and $85$. The GCD of $238$ and $85$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{238 \div 17}{85 \div 17} = \frac{14}{5}$

Answer $\frac{34}{85}\div\frac{1}{7} = \frac{14}{5}$

The following animation demonstrates the divide-by,