What is 75/89 Divided By 4/2

Solving $\frac{75}{89}\div\frac{4}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{4}{2} = \frac{75}{89} \times \frac{2}{4}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $89 \times 4 = 356$
• Form the New Fraction: $\frac{75}{89} \times \frac{4}{2} = \frac{150}{356}$

Let's Simplify $\frac{150}{356}$

• Find the Greatest Common Divisor (GCD) of $150$ and $356$. The GCD of $150$ and $356$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 2}{356 \div 2} = \frac{75}{178}$

Answer $\frac{75}{89}\div\frac{4}{2} = \frac{75}{178}$

The following animation demonstrates the divide-by,