What is 89/35 Divided By 3/2

Solving $\frac{89}{35}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{35} \div \frac{3}{2} = \frac{89}{35} \times \frac{2}{3}$

• Multiply the Numerators: $89 \times 2 = 178$
• Multiply the Denominators: $35 \times 3 = 105$
• Form the New Fraction: $\frac{89}{35} \times \frac{3}{2} = \frac{178}{105}$

Simplify - Since $\frac{178}{105}$​ is already in its simplest form (there are no common factors between $178$ and $105$ other than $1$), this is the final answer.

Answer $\frac{89}{35}\div\frac{3}{2} = \frac{178}{105}$

The following animation demonstrates the divide-by,