What is 75/85 Divided By 1/4

Solving $\frac{75}{85}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{1}{4} = \frac{75}{85} \times \frac{4}{1}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{75}{85} \times \frac{1}{4} = \frac{300}{85}$

Let's Simplify $\frac{300}{85}$

• Find the Greatest Common Divisor (GCD) of $300$ and $85$. The GCD of $300$ and $85$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 5}{85 \div 5} = \frac{60}{17}$

Answer $\frac{75}{85}\div\frac{1}{4} = \frac{60}{17}$

The following animation demonstrates the divide-by,