What is 19/57 Divided By 2/9

Solving $\frac{19}{57}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{57} \div \frac{2}{9} = \frac{19}{57} \times \frac{9}{2}$

• Multiply the Numerators: $19 \times 9 = 171$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{19}{57} \times \frac{2}{9} = \frac{171}{114}$

Let's Simplify $\frac{171}{114}$

• Find the Greatest Common Divisor (GCD) of $171$ and $114$. The GCD of $171$ and $114$ is $57$.
• Divide both the numerator and the denominator by the GCD:$\frac{171 \div 57}{114 \div 57} = \frac{3}{2}$

Answer $\frac{19}{57}\div\frac{2}{9} = \frac{3}{2}$

The following animation demonstrates the divide-by,