What is 83/60 Divided By 6/5

Solving $\frac{83}{60}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{60} \div \frac{6}{5} = \frac{83}{60} \times \frac{5}{6}$

• Multiply the Numerators: $83 \times 5 = 415$
• Multiply the Denominators: $60 \times 6 = 360$
• Form the New Fraction: $\frac{83}{60} \times \frac{6}{5} = \frac{415}{360}$

Let's Simplify $\frac{415}{360}$

• Find the Greatest Common Divisor (GCD) of $415$ and $360$. The GCD of $415$ and $360$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{415 \div 5}{360 \div 5} = \frac{83}{72}$

Answer $\frac{83}{60}\div\frac{6}{5} = \frac{83}{72}$

The following animation demonstrates the divide-by,