What is 85/75 Divided By 1/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{85}{75} \times \frac{1}{4} = \frac{340}{75}$

Let's Simplify $\frac{340}{75}$

• Find the Greatest Common Divisor (GCD) of $340$ and $75$. The GCD of $340$ and $75$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 5}{75 \div 5} = \frac{68}{15}$

Answer $\frac{85}{75}\div\frac{1}{4} = \frac{68}{15}$

The following animation demonstrates the divide-by,