What is 60/75 Divided By 1/4

Solving $\frac{60}{75}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{75} \div \frac{1}{4} = \frac{60}{75} \times \frac{4}{1}$

• Multiply the Numerators: $60 \times 4 = 240$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{60}{75} \times \frac{1}{4} = \frac{240}{75}$

Let's Simplify $\frac{240}{75}$

• Find the Greatest Common Divisor (GCD) of $240$ and $75$. The GCD of $240$ and $75$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 15}{75 \div 15} = \frac{16}{5}$

Answer $\frac{60}{75}\div\frac{1}{4} = \frac{16}{5}$

The following animation demonstrates the divide-by,