What is 95/75 Divided By 4/6

Solving $\frac{95}{75}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{75} \div \frac{4}{6} = \frac{95}{75} \times \frac{6}{4}$

• Multiply the Numerators: $95 \times 6 = 570$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{95}{75} \times \frac{4}{6} = \frac{570}{300}$

Let's Simplify $\frac{570}{300}$

• Find the Greatest Common Divisor (GCD) of $570$ and $300$. The GCD of $570$ and $300$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{570 \div 30}{300 \div 30} = \frac{19}{10}$

Answer $\frac{95}{75}\div\frac{4}{6} = \frac{19}{10}$

The following animation demonstrates the divide-by,