What is 83/45 Divided By 3/5

Solving $\frac{83}{45}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{45} \div \frac{3}{5} = \frac{83}{45} \times \frac{5}{3}$

• Multiply the Numerators: $83 \times 5 = 415$
• Multiply the Denominators: $45 \times 3 = 135$
• Form the New Fraction: $\frac{83}{45} \times \frac{3}{5} = \frac{415}{135}$

Let's Simplify $\frac{415}{135}$

• Find the Greatest Common Divisor (GCD) of $415$ and $135$. The GCD of $415$ and $135$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{415 \div 5}{135 \div 5} = \frac{83}{27}$

Answer $\frac{83}{45}\div\frac{3}{5} = \frac{83}{27}$

The following animation demonstrates the divide-by,