What is 17/85 Divided By 6/7

Solving $\frac{17}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{85} \div \frac{6}{7} = \frac{17}{85} \times \frac{7}{6}$

• Multiply the Numerators: $17 \times 7 = 119$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{17}{85} \times \frac{6}{7} = \frac{119}{510}$

Let's Simplify $\frac{119}{510}$

• Find the Greatest Common Divisor (GCD) of $119$ and $510$. The GCD of $119$ and $510$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{119 \div 17}{510 \div 17} = \frac{7}{30}$

Answer $\frac{17}{85}\div\frac{6}{7} = \frac{7}{30}$

The following animation demonstrates the divide-by,