What is 85/70 Divided By 6/7

Solving $\frac{85}{70}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{70} \div \frac{6}{7} = \frac{85}{70} \times \frac{7}{6}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{85}{70} \times \frac{6}{7} = \frac{595}{420}$

Let's Simplify $\frac{595}{420}$

• Find the Greatest Common Divisor (GCD) of $595$ and $420$. The GCD of $595$ and $420$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 35}{420 \div 35} = \frac{17}{12}$

Answer $\frac{85}{70}\div\frac{6}{7} = \frac{17}{12}$

The following animation demonstrates the divide-by,