What is 75/35 Divided By 2/1

Solving $\frac{75}{35}\div\frac{2}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{35} \div \frac{2}{1} = \frac{75}{35} \times \frac{1}{2}$

• Multiply the Numerators: $75 \times 1 = 75$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{75}{35} \times \frac{2}{1} = \frac{75}{70}$

Let's Simplify $\frac{75}{70}$

• Find the Greatest Common Divisor (GCD) of $75$ and $70$. The GCD of $75$ and $70$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{75 \div 5}{70 \div 5} = \frac{15}{14}$

Answer $\frac{75}{35}\div\frac{2}{1} = \frac{15}{14}$

The following animation demonstrates the divide-by,