What is 34/83 Divided By 2/3

Solving $\frac{34}{83}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{83} \div \frac{2}{3} = \frac{34}{83} \times \frac{3}{2}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $83 \times 2 = 166$
• Form the New Fraction: $\frac{34}{83} \times \frac{2}{3} = \frac{102}{166}$

Let's Simplify $\frac{102}{166}$

• Find the Greatest Common Divisor (GCD) of $102$ and $166$. The GCD of $102$ and $166$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 2}{166 \div 2} = \frac{51}{83}$

Answer $\frac{34}{83}\div\frac{2}{3} = \frac{51}{83}$

The following animation demonstrates the divide-by,