What is 46/33 Divided By 5/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,