What is 75/27 Divided By 2/5

Solving $\frac{75}{27}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{27} \div \frac{2}{5} = \frac{75}{27} \times \frac{5}{2}$

• Multiply the Numerators: $75 \times 5 = 375$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{75}{27} \times \frac{2}{5} = \frac{375}{54}$

Let's Simplify $\frac{375}{54}$

• Find the Greatest Common Divisor (GCD) of $375$ and $54$. The GCD of $375$ and $54$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{375 \div 3}{54 \div 3} = \frac{125}{18}$

Answer $\frac{75}{27}\div\frac{2}{5} = \frac{125}{18}$

The following animation demonstrates the divide-by,