What is 95/75 Divided By 2/5

Solving $\frac{95}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{75} \div \frac{2}{5} = \frac{95}{75} \times \frac{5}{2}$

• Multiply the Numerators: $95 \times 5 = 475$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{95}{75} \times \frac{2}{5} = \frac{475}{150}$

Let's Simplify $\frac{475}{150}$

• Find the Greatest Common Divisor (GCD) of $475$ and $150$. The GCD of $475$ and $150$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{475 \div 25}{150 \div 25} = \frac{19}{6}$

Answer $\frac{95}{75}\div\frac{2}{5} = \frac{19}{6}$

The following animation demonstrates the divide-by,