What is 85/24 Divided By 5/6

Solving $\frac{85}{24}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{24} \div \frac{5}{6} = \frac{85}{24} \times \frac{6}{5}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{85}{24} \times \frac{5}{6} = \frac{510}{120}$

Let's Simplify $\frac{510}{120}$

• Find the Greatest Common Divisor (GCD) of $510$ and $120$. The GCD of $510$ and $120$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 30}{120 \div 30} = \frac{17}{4}$

Answer $\frac{85}{24}\div\frac{5}{6} = \frac{17}{4}$

The following animation demonstrates the divide-by,