What is 46/53 Divided By 3/5

Solving $\frac{46}{53}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{53} \div \frac{3}{5} = \frac{46}{53} \times \frac{5}{3}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{46}{53} \times \frac{3}{5} = \frac{230}{159}$

Simplify - Since $\frac{230}{159}$​ is already in its simplest form (there are no common factors between $230$ and $159$ other than $1$), this is the final answer.

Answer $\frac{46}{53}\div\frac{3}{5} = \frac{230}{159}$

The following animation demonstrates the divide-by,