What is 27/52 Divided By 5/7

Solving $\frac{27}{52}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{52} \div \frac{5}{7} = \frac{27}{52} \times \frac{7}{5}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{27}{52} \times \frac{5}{7} = \frac{189}{260}$

Simplify - Since $\frac{189}{260}$​ is already in its simplest form (there are no common factors between $189$ and $260$ other than $1$), this is the final answer.

Answer $\frac{27}{52}\div\frac{5}{7} = \frac{189}{260}$

The following animation demonstrates the divide-by,