What is 27/35 Divided By 8/9

Solving $\frac{27}{35}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{35} \div \frac{8}{9} = \frac{27}{35} \times \frac{9}{8}$

• Multiply the Numerators: $27 \times 9 = 243$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{27}{35} \times \frac{8}{9} = \frac{243}{280}$

Simplify - Since $\frac{243}{280}$​ is already in its simplest form (there are no common factors between $243$ and $280$ other than $1$), this is the final answer.

Answer $\frac{27}{35}\div\frac{8}{9} = \frac{243}{280}$

The following animation demonstrates the divide-by,