What is 85/34 Divided By 4/7

Solving $\frac{85}{34}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{4}{7} = \frac{85}{34} \times \frac{7}{4}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $34 \times 4 = 136$
• Form the New Fraction: $\frac{85}{34} \times \frac{4}{7} = \frac{595}{136}$

Let's Simplify $\frac{595}{136}$

• Find the Greatest Common Divisor (GCD) of $595$ and $136$. The GCD of $595$ and $136$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 17}{136 \div 17} = \frac{35}{8}$

Answer $\frac{85}{34}\div\frac{4}{7} = \frac{35}{8}$

The following animation demonstrates the divide-by,