What is 83/42 Divided By 9/5

Solving $\frac{83}{42}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{42} \div \frac{9}{5} = \frac{83}{42} \times \frac{5}{9}$

• Multiply the Numerators: $83 \times 5 = 415$
• Multiply the Denominators: $42 \times 9 = 378$
• Form the New Fraction: $\frac{83}{42} \times \frac{9}{5} = \frac{415}{378}$

Simplify - Since $\frac{415}{378}$​ is already in its simplest form (there are no common factors between $415$ and $378$ other than $1$), this is the final answer.

Answer $\frac{83}{42}\div\frac{9}{5} = \frac{415}{378}$

The following animation demonstrates the divide-by,