What is 75/85 Divided By 8/4

Solving $\frac{75}{85}\div\frac{8}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{8}{4} = \frac{75}{85} \times \frac{4}{8}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{75}{85} \times \frac{8}{4} = \frac{300}{680}$

Let's Simplify $\frac{300}{680}$

• Find the Greatest Common Divisor (GCD) of $300$ and $680$. The GCD of $300$ and $680$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 20}{680 \div 20} = \frac{15}{34}$

Answer $\frac{75}{85}\div\frac{8}{4} = \frac{15}{34}$

The following animation demonstrates the divide-by,