What is 75/81 Divided By 4/1

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $75 \times 1 = 75$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{75}{81} \times \frac{4}{1} = \frac{75}{324}$

Let's Simplify $\frac{75}{324}$

• Find the Greatest Common Divisor (GCD) of $75$ and $324$. The GCD of $75$ and $324$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{75 \div 3}{324 \div 3} = \frac{25}{108}$

Answer $\frac{75}{81}\div\frac{4}{1} = \frac{25}{108}$

The following animation demonstrates the divide-by,