What is 83/24 Divided By 5/6

Solving $\frac{83}{24}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{24} \div \frac{5}{6} = \frac{83}{24} \times \frac{6}{5}$

• Multiply the Numerators: $83 \times 6 = 498$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{83}{24} \times \frac{5}{6} = \frac{498}{120}$

Let's Simplify $\frac{498}{120}$

• Find the Greatest Common Divisor (GCD) of $498$ and $120$. The GCD of $498$ and $120$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{498 \div 6}{120 \div 6} = \frac{83}{20}$

Answer $\frac{83}{24}\div\frac{5}{6} = \frac{83}{20}$

The following animation demonstrates the divide-by,