What is 75/81 Divided By 4/2

Solving $\frac{75}{81}\div\frac{4}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{4}{2} = \frac{75}{81} \times \frac{2}{4}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{75}{81} \times \frac{4}{2} = \frac{150}{324}$

Let's Simplify $\frac{150}{324}$

• Find the Greatest Common Divisor (GCD) of $150$ and $324$. The GCD of $150$ and $324$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 6}{324 \div 6} = \frac{25}{54}$

Answer $\frac{75}{81}\div\frac{4}{2} = \frac{25}{54}$

The following animation demonstrates the divide-by,