What is 75/45 Divided By 1/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $45 \times 1 = 45$
• Form the New Fraction: $\frac{75}{45} \times \frac{1}{6} = \frac{450}{45}$

Let's Simplify $\frac{450}{45}$

• Find the Greatest Common Divisor (GCD) of $450$ and $45$. The GCD of $450$ and $45$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 45}{45 \div 45} = \frac{10}{1}$

Answer $\frac{75}{45}\div\frac{1}{6} = \frac{10}{1}$

The following animation demonstrates the divide-by,