What is 33/46 Divided By 3/5

Solving $\frac{33}{46}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{46} \div \frac{3}{5} = \frac{33}{46} \times \frac{5}{3}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{33}{46} \times \frac{3}{5} = \frac{165}{138}$

Let's Simplify $\frac{165}{138}$

• Find the Greatest Common Divisor (GCD) of $165$ and $138$. The GCD of $165$ and $138$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{138 \div 3} = \frac{55}{46}$

Answer $\frac{33}{46}\div\frac{3}{5} = \frac{55}{46}$

The following animation demonstrates the divide-by,