What is 75/81 Divided By 1/4

Solving $\frac{75}{81}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{1}{4} = \frac{75}{81} \times \frac{4}{1}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{75}{81} \times \frac{1}{4} = \frac{300}{81}$

Let's Simplify $\frac{300}{81}$

• Find the Greatest Common Divisor (GCD) of $300$ and $81$. The GCD of $300$ and $81$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 3}{81 \div 3} = \frac{100}{27}$

Answer $\frac{75}{81}\div\frac{1}{4} = \frac{100}{27}$

The following animation demonstrates the divide-by,