What is 12/85 Divided By 8/9

Solving $\frac{12}{85}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{85} \div \frac{8}{9} = \frac{12}{85} \times \frac{9}{8}$

• Multiply the Numerators: $12 \times 9 = 108$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{12}{85} \times \frac{8}{9} = \frac{108}{680}$

Let's Simplify $\frac{108}{680}$

• Find the Greatest Common Divisor (GCD) of $108$ and $680$. The GCD of $108$ and $680$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 4}{680 \div 4} = \frac{27}{170}$

Answer $\frac{12}{85}\div\frac{8}{9} = \frac{27}{170}$

The following animation demonstrates the divide-by,