What is 75/85 Divided By 4/2

Solving $\frac{75}{85}\div\frac{4}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{4}{2} = \frac{75}{85} \times \frac{2}{4}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{75}{85} \times \frac{4}{2} = \frac{150}{340}$

Let's Simplify $\frac{150}{340}$

• Find the Greatest Common Divisor (GCD) of $150$ and $340$. The GCD of $150$ and $340$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 10}{340 \div 10} = \frac{15}{34}$

Answer $\frac{75}{85}\div\frac{4}{2} = \frac{15}{34}$

The following animation demonstrates the divide-by,