What is 83/12 Divided By 5/2

Solving $\frac{83}{12}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{12} \div \frac{5}{2} = \frac{83}{12} \times \frac{2}{5}$

• Multiply the Numerators: $83 \times 2 = 166$
• Multiply the Denominators: $12 \times 5 = 60$
• Form the New Fraction: $\frac{83}{12} \times \frac{5}{2} = \frac{166}{60}$

Let's Simplify $\frac{166}{60}$

• Find the Greatest Common Divisor (GCD) of $166$ and $60$. The GCD of $166$ and $60$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{166 \div 2}{60 \div 2} = \frac{83}{30}$

Answer $\frac{83}{12}\div\frac{5}{2} = \frac{83}{30}$

The following animation demonstrates the divide-by,