What is 85/34 Divided By 8/7

Solving $\frac{85}{34}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{8}{7} = \frac{85}{34} \times \frac{7}{8}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $34 \times 8 = 272$
• Form the New Fraction: $\frac{85}{34} \times \frac{8}{7} = \frac{595}{272}$

Let's Simplify $\frac{595}{272}$

• Find the Greatest Common Divisor (GCD) of $595$ and $272$. The GCD of $595$ and $272$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 17}{272 \div 17} = \frac{35}{16}$

Answer $\frac{85}{34}\div\frac{8}{7} = \frac{35}{16}$

The following animation demonstrates the divide-by,