What is 17/85 Divided By 6/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $17 \times 4 = 68$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{17}{85} \times \frac{6}{4} = \frac{68}{510}$

Let's Simplify $\frac{68}{510}$

• Find the Greatest Common Divisor (GCD) of $68$ and $510$. The GCD of $68$ and $510$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{68 \div 34}{510 \div 34} = \frac{2}{15}$

Answer $\frac{17}{85}\div\frac{6}{4} = \frac{2}{15}$

The following animation demonstrates the divide-by,