What is 95/50 Divided By 2/5

Solving $\frac{95}{50}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{50} \div \frac{2}{5} = \frac{95}{50} \times \frac{5}{2}$

• Multiply the Numerators: $95 \times 5 = 475$
• Multiply the Denominators: $50 \times 2 = 100$
• Form the New Fraction: $\frac{95}{50} \times \frac{2}{5} = \frac{475}{100}$

Let's Simplify $\frac{475}{100}$

• Find the Greatest Common Divisor (GCD) of $475$ and $100$. The GCD of $475$ and $100$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{475 \div 25}{100 \div 25} = \frac{19}{4}$

Answer $\frac{95}{50}\div\frac{2}{5} = \frac{19}{4}$

The following animation demonstrates the divide-by,