What is 38/45 Divided By 5/8

Solving $\frac{38}{45}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{45} \div \frac{5}{8} = \frac{38}{45} \times \frac{8}{5}$

• Multiply the Numerators: $38 \times 8 = 304$
• Multiply the Denominators: $45 \times 5 = 225$
• Form the New Fraction: $\frac{38}{45} \times \frac{5}{8} = \frac{304}{225}$

Simplify - Since $\frac{304}{225}$​ is already in its simplest form (there are no common factors between $304$ and $225$ other than $1$), this is the final answer.

Answer $\frac{38}{45}\div\frac{5}{8} = \frac{304}{225}$

The following animation demonstrates the divide-by,