What is 85/83 Divided By 9/6

Solving $\frac{85}{83}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{83} \div \frac{9}{6} = \frac{85}{83} \times \frac{6}{9}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $83 \times 9 = 747$
• Form the New Fraction: $\frac{85}{83} \times \frac{9}{6} = \frac{510}{747}$

Let's Simplify $\frac{510}{747}$

• Find the Greatest Common Divisor (GCD) of $510$ and $747$. The GCD of $510$ and $747$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 3}{747 \div 3} = \frac{170}{249}$

Answer $\frac{85}{83}\div\frac{9}{6} = \frac{170}{249}$

The following animation demonstrates the divide-by,