What is 46/89 Divided By 7/4

Solving $\frac{46}{89}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{89} \div \frac{7}{4} = \frac{46}{89} \times \frac{4}{7}$

• Multiply the Numerators: $46 \times 4 = 184$
• Multiply the Denominators: $89 \times 7 = 623$
• Form the New Fraction: $\frac{46}{89} \times \frac{7}{4} = \frac{184}{623}$

Simplify - Since $\frac{184}{623}$​ is already in its simplest form (there are no common factors between $184$ and $623$ other than $1$), this is the final answer.

Answer $\frac{46}{89}\div\frac{7}{4} = \frac{184}{623}$

The following animation demonstrates the divide-by,