What is 83/12 Divided By 5/8

Solving $\frac{83}{12}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{12} \div \frac{5}{8} = \frac{83}{12} \times \frac{8}{5}$

• Multiply the Numerators: $83 \times 8 = 664$
• Multiply the Denominators: $12 \times 5 = 60$
• Form the New Fraction: $\frac{83}{12} \times \frac{5}{8} = \frac{664}{60}$

Let's Simplify $\frac{664}{60}$

• Find the Greatest Common Divisor (GCD) of $664$ and $60$. The GCD of $664$ and $60$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{664 \div 4}{60 \div 4} = \frac{166}{15}$

Answer $\frac{83}{12}\div\frac{5}{8} = \frac{166}{15}$

The following animation demonstrates the divide-by,