What is 17/85 Divided By 4/6

Solving $\frac{17}{85}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{85} \div \frac{4}{6} = \frac{17}{85} \times \frac{6}{4}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{17}{85} \times \frac{4}{6} = \frac{102}{340}$

Let's Simplify $\frac{102}{340}$

• Find the Greatest Common Divisor (GCD) of $102$ and $340$. The GCD of $102$ and $340$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 34}{340 \div 34} = \frac{3}{10}$

Answer $\frac{17}{85}\div\frac{4}{6} = \frac{3}{10}$

The following animation demonstrates the divide-by,