What is 75/27 Divided By 2/9

Solving $\frac{75}{27}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{27} \div \frac{2}{9} = \frac{75}{27} \times \frac{9}{2}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{75}{27} \times \frac{2}{9} = \frac{675}{54}$

Let's Simplify $\frac{675}{54}$

• Find the Greatest Common Divisor (GCD) of $675$ and $54$. The GCD of $675$ and $54$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 27}{54 \div 27} = \frac{25}{2}$

Answer $\frac{75}{27}\div\frac{2}{9} = \frac{25}{2}$

The following animation demonstrates the divide-by,