What is 27/17 Divided By 2/3

Solving $\frac{27}{17}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{17} \div \frac{2}{3} = \frac{27}{17} \times \frac{3}{2}$

• Multiply the Numerators: $27 \times 3 = 81$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{27}{17} \times \frac{2}{3} = \frac{81}{34}$

Simplify - Since $\frac{81}{34}$​ is already in its simplest form (there are no common factors between $81$ and $34$ other than $1$), this is the final answer.

Answer $\frac{27}{17}\div\frac{2}{3} = \frac{81}{34}$

The following animation demonstrates the divide-by,