What is 81/75 Divided By 2/5

Solving $\frac{81}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{75} \div \frac{2}{5} = \frac{81}{75} \times \frac{5}{2}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{81}{75} \times \frac{2}{5} = \frac{405}{150}$

Let's Simplify $\frac{405}{150}$

• Find the Greatest Common Divisor (GCD) of $405$ and $150$. The GCD of $405$ and $150$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 15}{150 \div 15} = \frac{27}{10}$

Answer $\frac{81}{75}\div\frac{2}{5} = \frac{27}{10}$

The following animation demonstrates the divide-by,