What is 75/34 Divided By 1/6

Solving $\frac{75}{34}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{34} \div \frac{1}{6} = \frac{75}{34} \times \frac{6}{1}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $34 \times 1 = 34$
• Form the New Fraction: $\frac{75}{34} \times \frac{1}{6} = \frac{450}{34}$

Let's Simplify $\frac{450}{34}$

• Find the Greatest Common Divisor (GCD) of $450$ and $34$. The GCD of $450$ and $34$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 2}{34 \div 2} = \frac{225}{17}$

Answer $\frac{75}{34}\div\frac{1}{6} = \frac{225}{17}$

The following animation demonstrates the divide-by,