What is 34/85 Divided By 9/8

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,