What is 85/42 Divided By 2/7

Solving $\frac{85}{42}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{42} \div \frac{2}{7} = \frac{85}{42} \times \frac{7}{2}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{85}{42} \times \frac{2}{7} = \frac{595}{84}$

Let's Simplify $\frac{595}{84}$

• Find the Greatest Common Divisor (GCD) of $595$ and $84$. The GCD of $595$ and $84$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 7}{84 \div 7} = \frac{85}{12}$

Answer $\frac{85}{42}\div\frac{2}{7} = \frac{85}{12}$

The following animation demonstrates the divide-by,