What is 19/53 Divided By 2/5

Solving $\frac{19}{53}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{53} \div \frac{2}{5} = \frac{19}{53} \times \frac{5}{2}$

• Multiply the Numerators: $19 \times 5 = 95$
• Multiply the Denominators: $53 \times 2 = 106$
• Form the New Fraction: $\frac{19}{53} \times \frac{2}{5} = \frac{95}{106}$

Simplify - Since $\frac{95}{106}$​ is already in its simplest form (there are no common factors between $95$ and $106$ other than $1$), this is the final answer.

Answer $\frac{19}{53}\div\frac{2}{5} = \frac{95}{106}$

The following animation demonstrates the divide-by,