What is 34/57 Divided By 2/3

Solving $\frac{34}{57}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{57} \div \frac{2}{3} = \frac{34}{57} \times \frac{3}{2}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{34}{57} \times \frac{2}{3} = \frac{102}{114}$

Let's Simplify $\frac{102}{114}$

• Find the Greatest Common Divisor (GCD) of $102$ and $114$. The GCD of $102$ and $114$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 6}{114 \div 6} = \frac{17}{19}$

Answer $\frac{34}{57}\div\frac{2}{3} = \frac{17}{19}$

The following animation demonstrates the divide-by,