What is 34/91 Divided By 2/3

Solving $\frac{34}{91}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{91} \div \frac{2}{3} = \frac{34}{91} \times \frac{3}{2}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $91 \times 2 = 182$
• Form the New Fraction: $\frac{34}{91} \times \frac{2}{3} = \frac{102}{182}$

Let's Simplify $\frac{102}{182}$

• Find the Greatest Common Divisor (GCD) of $102$ and $182$. The GCD of $102$ and $182$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 2}{182 \div 2} = \frac{51}{91}$

Answer $\frac{34}{91}\div\frac{2}{3} = \frac{51}{91}$

The following animation demonstrates the divide-by,