What is 17/34 Divided By 1/4

Solving $\frac{17}{34}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{34} \div \frac{1}{4} = \frac{17}{34} \times \frac{4}{1}$

• Multiply the Numerators: $17 \times 4 = 68$
• Multiply the Denominators: $34 \times 1 = 34$
• Form the New Fraction: $\frac{17}{34} \times \frac{1}{4} = \frac{68}{34}$

Let's Simplify $\frac{68}{34}$

• Find the Greatest Common Divisor (GCD) of $68$ and $34$. The GCD of $68$ and $34$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{68 \div 34}{34 \div 34} = \frac{2}{1}$

Answer $\frac{17}{34}\div\frac{1}{4} = \frac{2}{1}$

The following animation demonstrates the divide-by,