What is 95/57 Divided By 2/5

Solving $\frac{95}{57}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{57} \div \frac{2}{5} = \frac{95}{57} \times \frac{5}{2}$

• Multiply the Numerators: $95 \times 5 = 475$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{95}{57} \times \frac{2}{5} = \frac{475}{114}$

Let's Simplify $\frac{475}{114}$

• Find the Greatest Common Divisor (GCD) of $475$ and $114$. The GCD of $475$ and $114$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{475 \div 19}{114 \div 19} = \frac{25}{6}$

Answer $\frac{95}{57}\div\frac{2}{5} = \frac{25}{6}$

The following animation demonstrates the divide-by,