What is 34/42 Divided By 2/3

Solving $\frac{34}{42}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{42} \div \frac{2}{3} = \frac{34}{42} \times \frac{3}{2}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{34}{42} \times \frac{2}{3} = \frac{102}{84}$

Let's Simplify $\frac{102}{84}$

• Find the Greatest Common Divisor (GCD) of $102$ and $84$. The GCD of $102$ and $84$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 6}{84 \div 6} = \frac{17}{14}$

Answer $\frac{34}{42}\div\frac{2}{3} = \frac{17}{14}$

The following animation demonstrates the divide-by,