What is 75/98 Divided By 4/9

Solving $\frac{75}{98}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{98} \div \frac{4}{9} = \frac{75}{98} \times \frac{9}{4}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $98 \times 4 = 392$
• Form the New Fraction: $\frac{75}{98} \times \frac{4}{9} = \frac{675}{392}$

Simplify - Since $\frac{675}{392}$​ is already in its simplest form (there are no common factors between $675$ and $392$ other than $1$), this is the final answer.

Answer $\frac{75}{98}\div\frac{4}{9} = \frac{675}{392}$

The following animation demonstrates the divide-by,