What is 61/46 Divided By 3/7

Solving $\frac{61}{46}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{46} \div \frac{3}{7} = \frac{61}{46} \times \frac{7}{3}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{61}{46} \times \frac{3}{7} = \frac{427}{138}$

Simplify - Since $\frac{427}{138}$​ is already in its simplest form (there are no common factors between $427$ and $138$ other than $1$), this is the final answer.

Answer $\frac{61}{46}\div\frac{3}{7} = \frac{427}{138}$

The following animation demonstrates the divide-by,