What is 35/12 Divided By 2/5

Solving $\frac{35}{12}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{12} \div \frac{2}{5} = \frac{35}{12} \times \frac{5}{2}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $12 \times 2 = 24$
• Form the New Fraction: $\frac{35}{12} \times \frac{2}{5} = \frac{175}{24}$

Simplify - Since $\frac{175}{24}$​ is already in its simplest form (there are no common factors between $175$ and $24$ other than $1$), this is the final answer.

Answer $\frac{35}{12}\div\frac{2}{5} = \frac{175}{24}$

The following animation demonstrates the divide-by,