What is 75/54 Divided By 1/8

Solving $\frac{75}{54}\div\frac{1}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{54} \div \frac{1}{8} = \frac{75}{54} \times \frac{8}{1}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $54 \times 1 = 54$
• Form the New Fraction: $\frac{75}{54} \times \frac{1}{8} = \frac{600}{54}$

Let's Simplify $\frac{600}{54}$

• Find the Greatest Common Divisor (GCD) of $600$ and $54$. The GCD of $600$ and $54$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 6}{54 \div 6} = \frac{100}{9}$

Answer $\frac{75}{54}\div\frac{1}{8} = \frac{100}{9}$

The following animation demonstrates the divide-by,