What is 61/46 Divided By 5/7

Solving $\frac{61}{46}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{46} \div \frac{5}{7} = \frac{61}{46} \times \frac{7}{5}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $46 \times 5 = 230$
• Form the New Fraction: $\frac{61}{46} \times \frac{5}{7} = \frac{427}{230}$

Simplify - Since $\frac{427}{230}$​ is already in its simplest form (there are no common factors between $427$ and $230$ other than $1$), this is the final answer.

Answer $\frac{61}{46}\div\frac{5}{7} = \frac{427}{230}$

The following animation demonstrates the divide-by,