What is 85/26 Divided By 9/2

Solving $\frac{85}{26}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{26} \div \frac{9}{2} = \frac{85}{26} \times \frac{2}{9}$

• Multiply the Numerators: $85 \times 2 = 170$
• Multiply the Denominators: $26 \times 9 = 234$
• Form the New Fraction: $\frac{85}{26} \times \frac{9}{2} = \frac{170}{234}$

Let's Simplify $\frac{170}{234}$

• Find the Greatest Common Divisor (GCD) of $170$ and $234$. The GCD of $170$ and $234$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 2}{234 \div 2} = \frac{85}{117}$

Answer $\frac{85}{26}\div\frac{9}{2} = \frac{85}{117}$

The following animation demonstrates the divide-by,