What is 33/74 Divided By 6/5

Solving $\frac{33}{74}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{74} \div \frac{6}{5} = \frac{33}{74} \times \frac{5}{6}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $74 \times 6 = 444$
• Form the New Fraction: $\frac{33}{74} \times \frac{6}{5} = \frac{165}{444}$

Let's Simplify $\frac{165}{444}$

• Find the Greatest Common Divisor (GCD) of $165$ and $444$. The GCD of $165$ and $444$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{444 \div 3} = \frac{55}{148}$

Answer $\frac{33}{74}\div\frac{6}{5} = \frac{55}{148}$

The following animation demonstrates the divide-by,