What is 52/53 Divided By 3/8

Solving $\frac{52}{53}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{53} \div \frac{3}{8} = \frac{52}{53} \times \frac{8}{3}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{52}{53} \times \frac{3}{8} = \frac{416}{159}$

Simplify - Since $\frac{416}{159}$​ is already in its simplest form (there are no common factors between $416$ and $159$ other than $1$), this is the final answer.

Answer $\frac{52}{53}\div\frac{3}{8} = \frac{416}{159}$

The following animation demonstrates the divide-by,