What is 61/24 Divided By 6/7

Solving $\frac{61}{24}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{24} \div \frac{6}{7} = \frac{61}{24} \times \frac{7}{6}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $24 \times 6 = 144$
• Form the New Fraction: $\frac{61}{24} \times \frac{6}{7} = \frac{427}{144}$

Simplify - Since $\frac{427}{144}$​ is already in its simplest form (there are no common factors between $427$ and $144$ other than $1$), this is the final answer.

Answer $\frac{61}{24}\div\frac{6}{7} = \frac{427}{144}$

The following animation demonstrates the divide-by,