What is 85/75 Divided By 4/6

Solving $\frac{85}{75}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{75} \div \frac{4}{6} = \frac{85}{75} \times \frac{6}{4}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{85}{75} \times \frac{4}{6} = \frac{510}{300}$

Let's Simplify $\frac{510}{300}$

• Find the Greatest Common Divisor (GCD) of $510$ and $300$. The GCD of $510$ and $300$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 30}{300 \div 30} = \frac{17}{10}$

Answer $\frac{85}{75}\div\frac{4}{6} = \frac{17}{10}$

The following animation demonstrates the divide-by,