What is 19/57 Divided By 2/5

Solving $\frac{19}{57}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{57} \div \frac{2}{5} = \frac{19}{57} \times \frac{5}{2}$

• Multiply the Numerators: $19 \times 5 = 95$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{19}{57} \times \frac{2}{5} = \frac{95}{114}$

Let's Simplify $\frac{95}{114}$

• Find the Greatest Common Divisor (GCD) of $95$ and $114$. The GCD of $95$ and $114$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{95 \div 19}{114 \div 19} = \frac{5}{6}$

Answer $\frac{19}{57}\div\frac{2}{5} = \frac{5}{6}$

The following animation demonstrates the divide-by,