What is 33/12 Divided By 5/8

Solving $\frac{33}{12}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{12} \div \frac{5}{8} = \frac{33}{12} \times \frac{8}{5}$

• Multiply the Numerators: $33 \times 8 = 264$
• Multiply the Denominators: $12 \times 5 = 60$
• Form the New Fraction: $\frac{33}{12} \times \frac{5}{8} = \frac{264}{60}$

Let's Simplify $\frac{264}{60}$

• Find the Greatest Common Divisor (GCD) of $264$ and $60$. The GCD of $264$ and $60$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{264 \div 12}{60 \div 12} = \frac{22}{5}$

Answer $\frac{33}{12}\div\frac{5}{8} = \frac{22}{5}$

The following animation demonstrates the divide-by,