What is 45/75 Divided By 1/6

Solving $\frac{45}{75}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{1}{6} = \frac{45}{75} \times \frac{6}{1}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{45}{75} \times \frac{1}{6} = \frac{270}{75}$

Let's Simplify $\frac{270}{75}$

• Find the Greatest Common Divisor (GCD) of $270$ and $75$. The GCD of $270$ and $75$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 15}{75 \div 15} = \frac{18}{5}$

Answer $\frac{45}{75}\div\frac{1}{6} = \frac{18}{5}$

The following animation demonstrates the divide-by,