What is 85/42 Divided By 3/7

Solving $\frac{85}{42}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{42} \div \frac{3}{7} = \frac{85}{42} \times \frac{7}{3}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{85}{42} \times \frac{3}{7} = \frac{595}{126}$

Let's Simplify $\frac{595}{126}$

• Find the Greatest Common Divisor (GCD) of $595$ and $126$. The GCD of $595$ and $126$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 7}{126 \div 7} = \frac{85}{18}$

Answer $\frac{85}{42}\div\frac{3}{7} = \frac{85}{18}$

The following animation demonstrates the divide-by,