What is 24/35 Divided By 5/8

Solving $\frac{24}{35}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{35} \div \frac{5}{8} = \frac{24}{35} \times \frac{8}{5}$

• Multiply the Numerators: $24 \times 8 = 192$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{24}{35} \times \frac{5}{8} = \frac{192}{175}$

Simplify - Since $\frac{192}{175}$​ is already in its simplest form (there are no common factors between $192$ and $175$ other than $1$), this is the final answer.

Answer $\frac{24}{35}\div\frac{5}{8} = \frac{192}{175}$

The following animation demonstrates the divide-by,