What is 35/75 Divided By 9/2

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,