What is 85/34 Divided By 8/9

Solving $\frac{85}{34}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{8}{9} = \frac{85}{34} \times \frac{9}{8}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $34 \times 8 = 272$
• Form the New Fraction: $\frac{85}{34} \times \frac{8}{9} = \frac{765}{272}$

Let's Simplify $\frac{765}{272}$

• Find the Greatest Common Divisor (GCD) of $765$ and $272$. The GCD of $765$ and $272$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 17}{272 \div 17} = \frac{45}{16}$

Answer $\frac{85}{34}\div\frac{8}{9} = \frac{45}{16}$

The following animation demonstrates the divide-by,