What is 61/53 Divided By 4/7

Solving $\frac{61}{53}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{53} \div \frac{4}{7} = \frac{61}{53} \times \frac{7}{4}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $53 \times 4 = 212$
• Form the New Fraction: $\frac{61}{53} \times \frac{4}{7} = \frac{427}{212}$

Simplify - Since $\frac{427}{212}$​ is already in its simplest form (there are no common factors between $427$ and $212$ other than $1$), this is the final answer.

Answer $\frac{61}{53}\div\frac{4}{7} = \frac{427}{212}$

The following animation demonstrates the divide-by,