What is 75/35 Divided By 2/9

Solving $\frac{75}{35}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{35} \div \frac{2}{9} = \frac{75}{35} \times \frac{9}{2}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{75}{35} \times \frac{2}{9} = \frac{675}{70}$

Let's Simplify $\frac{675}{70}$

• Find the Greatest Common Divisor (GCD) of $675$ and $70$. The GCD of $675$ and $70$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 5}{70 \div 5} = \frac{135}{14}$

Answer $\frac{75}{35}\div\frac{2}{9} = \frac{135}{14}$

The following animation demonstrates the divide-by,