What is 75/83 Divided By 7/4

Solving $\frac{75}{83}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{83} \div \frac{7}{4} = \frac{75}{83} \times \frac{4}{7}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $83 \times 7 = 581$
• Form the New Fraction: $\frac{75}{83} \times \frac{7}{4} = \frac{300}{581}$

Simplify - Since $\frac{300}{581}$​ is already in its simplest form (there are no common factors between $300$ and $581$ other than $1$), this is the final answer.

Answer $\frac{75}{83}\div\frac{7}{4} = \frac{300}{581}$

The following animation demonstrates the divide-by,