What is 83/12 Divided By 8/6

Solving $\frac{83}{12}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{12} \div \frac{8}{6} = \frac{83}{12} \times \frac{6}{8}$

• Multiply the Numerators: $83 \times 6 = 498$
• Multiply the Denominators: $12 \times 8 = 96$
• Form the New Fraction: $\frac{83}{12} \times \frac{8}{6} = \frac{498}{96}$

Let's Simplify $\frac{498}{96}$

• Find the Greatest Common Divisor (GCD) of $498$ and $96$. The GCD of $498$ and $96$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{498 \div 6}{96 \div 6} = \frac{83}{16}$

Answer $\frac{83}{12}\div\frac{8}{6} = \frac{83}{16}$

The following animation demonstrates the divide-by,