What is 33/93 Divided By 8/5

Solving $\frac{33}{93}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{93} \div \frac{8}{5} = \frac{33}{93} \times \frac{5}{8}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $93 \times 8 = 744$
• Form the New Fraction: $\frac{33}{93} \times \frac{8}{5} = \frac{165}{744}$

Let's Simplify $\frac{165}{744}$

• Find the Greatest Common Divisor (GCD) of $165$ and $744$. The GCD of $165$ and $744$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{744 \div 3} = \frac{55}{248}$

Answer $\frac{33}{93}\div\frac{8}{5} = \frac{55}{248}$

The following animation demonstrates the divide-by,