What is 35/53 Divided By 2/5

Solving $\frac{35}{53}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{53} \div \frac{2}{5} = \frac{35}{53} \times \frac{5}{2}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $53 \times 2 = 106$
• Form the New Fraction: $\frac{35}{53} \times \frac{2}{5} = \frac{175}{106}$

Simplify - Since $\frac{175}{106}$​ is already in its simplest form (there are no common factors between $175$ and $106$ other than $1$), this is the final answer.

Answer $\frac{35}{53}\div\frac{2}{5} = \frac{175}{106}$

The following animation demonstrates the divide-by,