What is 38/53 Divided By 5/6

Solving $\frac{38}{53}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{53} \div \frac{5}{6} = \frac{38}{53} \times \frac{6}{5}$

• Multiply the Numerators: $38 \times 6 = 228$
• Multiply the Denominators: $53 \times 5 = 265$
• Form the New Fraction: $\frac{38}{53} \times \frac{5}{6} = \frac{228}{265}$

Simplify - Since $\frac{228}{265}$​ is already in its simplest form (there are no common factors between $228$ and $265$ other than $1$), this is the final answer.

Answer $\frac{38}{53}\div\frac{5}{6} = \frac{228}{265}$

The following animation demonstrates the divide-by,