What is 85/27 Divided By 7/2

Solving $\frac{85}{27}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{27} \div \frac{7}{2} = \frac{85}{27} \times \frac{2}{7}$

• Multiply the Numerators: $85 \times 2 = 170$
• Multiply the Denominators: $27 \times 7 = 189$
• Form the New Fraction: $\frac{85}{27} \times \frac{7}{2} = \frac{170}{189}$

Simplify - Since $\frac{170}{189}$​ is already in its simplest form (there are no common factors between $170$ and $189$ other than $1$), this is the final answer.

Answer $\frac{85}{27}\div\frac{7}{2} = \frac{170}{189}$

The following animation demonstrates the divide-by,