What is 60/85 Divided By 1/4

Solving $\frac{60}{85}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{85} \div \frac{1}{4} = \frac{60}{85} \times \frac{4}{1}$

• Multiply the Numerators: $60 \times 4 = 240$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{60}{85} \times \frac{1}{4} = \frac{240}{85}$

Let's Simplify $\frac{240}{85}$

• Find the Greatest Common Divisor (GCD) of $240$ and $85$. The GCD of $240$ and $85$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 5}{85 \div 5} = \frac{48}{17}$

Answer $\frac{60}{85}\div\frac{1}{4} = \frac{48}{17}$

The following animation demonstrates the divide-by,