What is 34/75 Divided By 4/1

Solving $\frac{34}{75}\div\frac{4}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{4}{1} = \frac{34}{75} \times \frac{1}{4}$

• Multiply the Numerators: $34 \times 1 = 34$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{34}{75} \times \frac{4}{1} = \frac{34}{300}$

Let's Simplify $\frac{34}{300}$

• Find the Greatest Common Divisor (GCD) of $34$ and $300$. The GCD of $34$ and $300$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{34 \div 2}{300 \div 2} = \frac{17}{150}$

Answer $\frac{34}{75}\div\frac{4}{1} = \frac{17}{150}$

The following animation demonstrates the divide-by,