What is 45/46 Divided By 7/9

Solving $\frac{45}{46}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{7}{9} = \frac{45}{46} \times \frac{9}{7}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $46 \times 7 = 322$
• Form the New Fraction: $\frac{45}{46} \times \frac{7}{9} = \frac{405}{322}$

Simplify - Since $\frac{405}{322}$​ is already in its simplest form (there are no common factors between $405$ and $322$ other than $1$), this is the final answer.

Answer $\frac{45}{46}\div\frac{7}{9} = \frac{405}{322}$

The following animation demonstrates the divide-by,